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Finding the Fourth Proportional to 560.39, 840.68 and 316.61

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Solution

The fourth proportional to 560.39, 840.68 and 316.61 is: 474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.39 : 840.68 = 316.61 : x
  2. Step 2: Convert to fraction form
    560.39/840.68 = 316.61/x
  3. Step 3: Cross multiply
    560.39x = 840.68 × 316.61
  4. Step 4: Simplify right side
    560.39x = 266,166.25
  5. Step 5: Solve for x
    x = 266,166.25/560.39
  6. Step 6: Final answer
    x = 474.97

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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.