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Finding the Fourth Proportional to 1,002.15, 1,502.07 and 408.93

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Solution

The fourth proportional to 1,002.15, 1,502.07 and 408.93 is: 612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.15 : 1,502.07 = 408.93 : x
  2. Step 2: Convert to fraction form
    1,002.15/1,502.07 = 408.93/x
  3. Step 3: Cross multiply
    1,002.15x = 1,502.07 × 408.93
  4. Step 4: Simplify right side
    1,002.15x = 614,241.49
  5. Step 5: Solve for x
    x = 614,241.49/1,002.15
  6. Step 6: Final answer
    x = 612.92

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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.