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Finding the Fourth Proportional to 714.61, 1,071.82 and 406.43

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Solution

The fourth proportional to 714.61, 1,071.82 and 406.43 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.61 : 1,071.82 = 406.43 : x
  2. Step 2: Convert to fraction form
    714.61/1,071.82 = 406.43/x
  3. Step 3: Cross multiply
    714.61x = 1,071.82 × 406.43
  4. Step 4: Simplify right side
    714.61x = 435,618.79
  5. Step 5: Solve for x
    x = 435,618.79/714.61
  6. Step 6: Final answer
    x = 609.59

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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.