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Finding the Fourth Proportional to 1,002.68, 1,502.98 and 418

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Solution

The fourth proportional to 1,002.68, 1,502.98 and 418 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.68 : 1,502.98 = 418 : x
  2. Step 2: Convert to fraction form
    1,002.68/1,502.98 = 418/x
  3. Step 3: Cross multiply
    1,002.68x = 1,502.98 × 418
  4. Step 4: Simplify right side
    1,002.68x = 628,245.64
  5. Step 5: Solve for x
    x = 628,245.64/1,002.68
  6. Step 6: Final answer
    x = 626.57

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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.