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Finding the Fourth Proportional to 1,013.63, 1,520.54 and 465.96

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Solution

The fourth proportional to 1,013.63, 1,520.54 and 465.96 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.63 : 1,520.54 = 465.96 : x
  2. Step 2: Convert to fraction form
    1,013.63/1,520.54 = 465.96/x
  3. Step 3: Cross multiply
    1,013.63x = 1,520.54 × 465.96
  4. Step 4: Simplify right side
    1,013.63x = 708,508.49
  5. Step 5: Solve for x
    x = 708,508.49/1,013.63
  6. Step 6: Final answer
    x = 698.98

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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.