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Finding the Fourth Proportional to 1,073.52, 1,613.16 and 612

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Solution

The fourth proportional to 1,073.52, 1,613.16 and 612 is: 919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.52 : 1,613.16 = 612 : x
  2. Step 2: Convert to fraction form
    1,073.52/1,613.16 = 612/x
  3. Step 3: Cross multiply
    1,073.52x = 1,613.16 × 612
  4. Step 4: Simplify right side
    1,073.52x = 987,253.92
  5. Step 5: Solve for x
    x = 987,253.92/1,073.52
  6. Step 6: Final answer
    x = 919.64

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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.