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Finding the Fourth Proportional to 1,013.55, 1,520.20 and 458.45

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Solution

The fourth proportional to 1,013.55, 1,520.20 and 458.45 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.55 : 1,520.20 = 458.45 : x
  2. Step 2: Convert to fraction form
    1,013.55/1,520.20 = 458.45/x
  3. Step 3: Cross multiply
    1,013.55x = 1,520.20 × 458.45
  4. Step 4: Simplify right side
    1,013.55x = 696,935.69
  5. Step 5: Solve for x
    x = 696,935.69/1,013.55
  6. Step 6: Final answer
    x = 687.62

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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.