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Finding the Fourth Proportional to 997.57, 1,495.70 and 477.55

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Solution

The fourth proportional to 997.57, 1,495.70 and 477.55 is: 716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.57 : 1,495.70 = 477.55 : x
  2. Step 2: Convert to fraction form
    997.57/1,495.70 = 477.55/x
  3. Step 3: Cross multiply
    997.57x = 1,495.70 × 477.55
  4. Step 4: Simplify right side
    997.57x = 714,279.03
  5. Step 5: Solve for x
    x = 714,279.03/997.57
  6. Step 6: Final answer
    x = 716.02

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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.