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Finding the Fourth Proportional to 652.97, 979.49 and 461.45

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Solution

The fourth proportional to 652.97, 979.49 and 461.45 is: 692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.97 : 979.49 = 461.45 : x
  2. Step 2: Convert to fraction form
    652.97/979.49 = 461.45/x
  3. Step 3: Cross multiply
    652.97x = 979.49 × 461.45
  4. Step 4: Simplify right side
    652.97x = 451,985.66
  5. Step 5: Solve for x
    x = 451,985.66/652.97
  6. Step 6: Final answer
    x = 692.20

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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.