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Finding the Fourth Proportional to 652.96, 974.17 and 646.07

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Solution

The fourth proportional to 652.96, 974.17 and 646.07 is: 963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.96 : 974.17 = 646.07 : x
  2. Step 2: Convert to fraction form
    652.96/974.17 = 646.07/x
  3. Step 3: Cross multiply
    652.96x = 974.17 × 646.07
  4. Step 4: Simplify right side
    652.96x = 629,378.78
  5. Step 5: Solve for x
    x = 629,378.78/652.96
  6. Step 6: Final answer
    x = 963.89

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.