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Finding the Fourth Proportional to 760.64, 1,140.32 and 516.48

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Solution

The fourth proportional to 760.64, 1,140.32 and 516.48 is: 774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.64 : 1,140.32 = 516.48 : x
  2. Step 2: Convert to fraction form
    760.64/1,140.32 = 516.48/x
  3. Step 3: Cross multiply
    760.64x = 1,140.32 × 516.48
  4. Step 4: Simplify right side
    760.64x = 588,952.47
  5. Step 5: Solve for x
    x = 588,952.47/760.64
  6. Step 6: Final answer
    x = 774.29

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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.