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Finding the Fourth Proportional to 714.04, 1,068.60 and 453.92

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Solution

The fourth proportional to 714.04, 1,068.60 and 453.92 is: 679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.04 : 1,068.60 = 453.92 : x
  2. Step 2: Convert to fraction form
    714.04/1,068.60 = 453.92/x
  3. Step 3: Cross multiply
    714.04x = 1,068.60 × 453.92
  4. Step 4: Simplify right side
    714.04x = 485,058.91
  5. Step 5: Solve for x
    x = 485,058.91/714.04
  6. Step 6: Final answer
    x = 679.32

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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.