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Finding the Fourth Proportional to 760.76, 1,049.84 and 495.24

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Solution

The fourth proportional to 760.76, 1,049.84 and 495.24 is: 683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,049.84 = 495.24 : x
  2. Step 2: Convert to fraction form
    760.76/1,049.84 = 495.24/x
  3. Step 3: Cross multiply
    760.76x = 1,049.84 × 495.24
  4. Step 4: Simplify right side
    760.76x = 519,922.76
  5. Step 5: Solve for x
    x = 519,922.76/760.76
  6. Step 6: Final answer
    x = 683.43

Related Problems

Find fourth proportional to 380.38, 524.92 and 247.62
Half scale
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Double scale
Find fourth proportional to 761.76, 1,051.22 and 496.24
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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.