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Finding the Fourth Proportional to 1,141.71, 1,712.66 and 517.39

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Solution

The fourth proportional to 1,141.71, 1,712.66 and 517.39 is: 776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.71 : 1,712.66 = 517.39 : x
  2. Step 2: Convert to fraction form
    1,141.71/1,712.66 = 517.39/x
  3. Step 3: Cross multiply
    1,141.71x = 1,712.66 × 517.39
  4. Step 4: Simplify right side
    1,141.71x = 886,113.16
  5. Step 5: Solve for x
    x = 886,113.16/1,141.71
  6. Step 6: Final answer
    x = 776.13

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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.