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Finding the Fourth Proportional to 1,013.34, 1,520.68 and 465.50

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Solution

The fourth proportional to 1,013.34, 1,520.68 and 465.50 is: 698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.34 : 1,520.68 = 465.50 : x
  2. Step 2: Convert to fraction form
    1,013.34/1,520.68 = 465.50/x
  3. Step 3: Cross multiply
    1,013.34x = 1,520.68 × 465.50
  4. Step 4: Simplify right side
    1,013.34x = 707,876.54
  5. Step 5: Solve for x
    x = 707,876.54/1,013.34
  6. Step 6: Final answer
    x = 698.56

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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.