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Finding the Fourth Proportional to 714.53, 1,071.95 and 406.53

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Solution

The fourth proportional to 714.53, 1,071.95 and 406.53 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.53 : 1,071.95 = 406.53 : x
  2. Step 2: Convert to fraction form
    714.53/1,071.95 = 406.53/x
  3. Step 3: Cross multiply
    714.53x = 1,071.95 × 406.53
  4. Step 4: Simplify right side
    714.53x = 435,779.83
  5. Step 5: Solve for x
    x = 435,779.83/714.53
  6. Step 6: Final answer
    x = 609.88

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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.