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Finding the Fourth Proportional to 649.55, 974.61 and 265.07

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Solution

The fourth proportional to 649.55, 974.61 and 265.07 is: 397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.55 : 974.61 = 265.07 : x
  2. Step 2: Convert to fraction form
    649.55/974.61 = 265.07/x
  3. Step 3: Cross multiply
    649.55x = 974.61 × 265.07
  4. Step 4: Simplify right side
    649.55x = 258,342.31
  5. Step 5: Solve for x
    x = 258,342.31/649.55
  6. Step 6: Final answer
    x = 397.72

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Double scale
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Similar ratio
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1.5x scale

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.