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Finding the Fourth Proportional to 760.16, 1,139.80 and 349.52

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Solution

The fourth proportional to 760.16, 1,139.80 and 349.52 is: 524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.16 : 1,139.80 = 349.52 : x
  2. Step 2: Convert to fraction form
    760.16/1,139.80 = 349.52/x
  3. Step 3: Cross multiply
    760.16x = 1,139.80 × 349.52
  4. Step 4: Simplify right side
    760.16x = 398,382.90
  5. Step 5: Solve for x
    x = 398,382.90/760.16
  6. Step 6: Final answer
    x = 524.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.