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Finding the Fourth Proportional to 1,088.68, 1,502.25 and 616.50

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Solution

The fourth proportional to 1,088.68, 1,502.25 and 616.50 is: 850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.68 : 1,502.25 = 616.50 : x
  2. Step 2: Convert to fraction form
    1,088.68/1,502.25 = 616.50/x
  3. Step 3: Cross multiply
    1,088.68x = 1,502.25 × 616.50
  4. Step 4: Simplify right side
    1,088.68x = 926,137.13
  5. Step 5: Solve for x
    x = 926,137.13/1,088.68
  6. Step 6: Final answer
    x = 850.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.