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Finding the Fourth Proportional to 1,002.48, 1,502.10 and 712.50

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Solution

The fourth proportional to 1,002.48, 1,502.10 and 712.50 is: 1,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.48 : 1,502.10 = 712.50 : x
  2. Step 2: Convert to fraction form
    1,002.48/1,502.10 = 712.50/x
  3. Step 3: Cross multiply
    1,002.48x = 1,502.10 × 712.50
  4. Step 4: Simplify right side
    1,002.48x = 1,070,246.25
  5. Step 5: Solve for x
    x = 1,070,246.25/1,002.48
  6. Step 6: Final answer
    x = 1,067.60

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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.