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Finding the Fourth Proportional to 1,002.25, 1,502.78 and 416.55

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Solution

The fourth proportional to 1,002.25, 1,502.78 and 416.55 is: 624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.25 : 1,502.78 = 416.55 : x
  2. Step 2: Convert to fraction form
    1,002.25/1,502.78 = 416.55/x
  3. Step 3: Cross multiply
    1,002.25x = 1,502.78 × 416.55
  4. Step 4: Simplify right side
    1,002.25x = 625,973.41
  5. Step 5: Solve for x
    x = 625,973.41/1,002.25
  6. Step 6: Final answer
    x = 624.57

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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.