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Finding the Fourth Proportional to 696.71, 1,044.86 and 454.52

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Solution

The fourth proportional to 696.71, 1,044.86 and 454.52 is: 681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.71 : 1,044.86 = 454.52 : x
  2. Step 2: Convert to fraction form
    696.71/1,044.86 = 454.52/x
  3. Step 3: Cross multiply
    696.71x = 1,044.86 × 454.52
  4. Step 4: Simplify right side
    696.71x = 474,909.77
  5. Step 5: Solve for x
    x = 474,909.77/696.71
  6. Step 6: Final answer
    x = 681.65

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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.