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Finding the Fourth Proportional to 760.75, 1,049.84 and 411.44

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Solution

The fourth proportional to 760.75, 1,049.84 and 411.44 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.75 : 1,049.84 = 411.44 : x
  2. Step 2: Convert to fraction form
    760.75/1,049.84 = 411.44/x
  3. Step 3: Cross multiply
    760.75x = 1,049.84 × 411.44
  4. Step 4: Simplify right side
    760.75x = 431,941.49
  5. Step 5: Solve for x
    x = 431,941.49/760.75
  6. Step 6: Final answer
    x = 567.78

Related Problems

Find fourth proportional to 380.38, 524.92 and 205.72
Half scale
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Double scale
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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.