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Finding the Fourth Proportional to 511.61, 706.19 and 456.93

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Solution

The fourth proportional to 511.61, 706.19 and 456.93 is: 630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.61 : 706.19 = 456.93 : x
  2. Step 2: Convert to fraction form
    511.61/706.19 = 456.93/x
  3. Step 3: Cross multiply
    511.61x = 706.19 × 456.93
  4. Step 4: Simplify right side
    511.61x = 322,677.11
  5. Step 5: Solve for x
    x = 322,677.11/511.61
  6. Step 6: Final answer
    x = 630.72

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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.