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Finding the Fourth Proportional to 511.52, 706.22 and 462.00

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Solution

The fourth proportional to 511.52, 706.22 and 462.00 is: 637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 706.22 = 462.00 : x
  2. Step 2: Convert to fraction form
    511.52/706.22 = 462.00/x
  3. Step 3: Cross multiply
    511.52x = 706.22 × 462.00
  4. Step 4: Simplify right side
    511.52x = 326,275.71
  5. Step 5: Solve for x
    x = 326,275.71/511.52
  6. Step 6: Final answer
    x = 637.86

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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.