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Finding the Fourth Proportional to 1,517.47, 2,276.55 and 477.45

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Solution

The fourth proportional to 1,517.47, 2,276.55 and 477.45 is: 716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.47 : 2,276.55 = 477.45 : x
  2. Step 2: Convert to fraction form
    1,517.47/2,276.55 = 477.45/x
  3. Step 3: Cross multiply
    1,517.47x = 2,276.55 × 477.45
  4. Step 4: Simplify right side
    1,517.47x = 1,086,938.80
  5. Step 5: Solve for x
    x = 1,086,938.80/1,517.47
  6. Step 6: Final answer
    x = 716.28

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Half scale
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Double scale
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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.