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Finding the Fourth Proportional to 760.77, 1,049.85 and 411.45

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Solution

The fourth proportional to 760.77, 1,049.85 and 411.45 is: 567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.77 : 1,049.85 = 411.45 : x
  2. Step 2: Convert to fraction form
    760.77/1,049.85 = 411.45/x
  3. Step 3: Cross multiply
    760.77x = 1,049.85 × 411.45
  4. Step 4: Simplify right side
    760.77x = 431,960.78
  5. Step 5: Solve for x
    x = 431,960.78/760.77
  6. Step 6: Final answer
    x = 567.80

Related Problems

Find fourth proportional to 380.38, 524.93 and 205.73
Half scale
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Double scale
Find fourth proportional to 761.77, 1,051.23 and 412.45
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.