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Finding the Fourth Proportional to 1,002.20, 1,502.84 and 557.18

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Solution

The fourth proportional to 1,002.20, 1,502.84 and 557.18 is: 835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.20 : 1,502.84 = 557.18 : x
  2. Step 2: Convert to fraction form
    1,002.20/1,502.84 = 557.18/x
  3. Step 3: Cross multiply
    1,002.20x = 1,502.84 × 557.18
  4. Step 4: Simplify right side
    1,002.20x = 837,352.39
  5. Step 5: Solve for x
    x = 837,352.39/1,002.20
  6. Step 6: Final answer
    x = 835.51

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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.