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Finding the Fourth Proportional to 1,630.70, 2,445.50 and 534.76

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Solution

The fourth proportional to 1,630.70, 2,445.50 and 534.76 is: 801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.70 : 2,445.50 = 534.76 : x
  2. Step 2: Convert to fraction form
    1,630.70/2,445.50 = 534.76/x
  3. Step 3: Cross multiply
    1,630.70x = 2,445.50 × 534.76
  4. Step 4: Simplify right side
    1,630.70x = 1,307,755.58
  5. Step 5: Solve for x
    x = 1,307,755.58/1,630.70
  6. Step 6: Final answer
    x = 801.96

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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.