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Finding the Fourth Proportional to 693.59, 957.56 and 472.86

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Solution

The fourth proportional to 693.59, 957.56 and 472.86 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.59 : 957.56 = 472.86 : x
  2. Step 2: Convert to fraction form
    693.59/957.56 = 472.86/x
  3. Step 3: Cross multiply
    693.59x = 957.56 × 472.86
  4. Step 4: Simplify right side
    693.59x = 452,789.46
  5. Step 5: Solve for x
    x = 452,789.46/693.59
  6. Step 6: Final answer
    x = 652.82

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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.