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Finding the Fourth Proportional to 652.55, 974.17 and 629.77

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Solution

The fourth proportional to 652.55, 974.17 and 629.77 is: 940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.55 : 974.17 = 629.77 : x
  2. Step 2: Convert to fraction form
    652.55/974.17 = 629.77/x
  3. Step 3: Cross multiply
    652.55x = 974.17 × 629.77
  4. Step 4: Simplify right side
    652.55x = 613,503.04
  5. Step 5: Solve for x
    x = 613,503.04/652.55
  6. Step 6: Final answer
    x = 940.16

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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.