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Finding the Fourth Proportional to 511.53, 706.65 and 407.31

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Solution

The fourth proportional to 511.53, 706.65 and 407.31 is: 562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.53 : 706.65 = 407.31 : x
  2. Step 2: Convert to fraction form
    511.53/706.65 = 407.31/x
  3. Step 3: Cross multiply
    511.53x = 706.65 × 407.31
  4. Step 4: Simplify right side
    511.53x = 287,825.61
  5. Step 5: Solve for x
    x = 287,825.61/511.53
  6. Step 6: Final answer
    x = 562.68

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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.