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Finding the Fourth Proportional to 1,139.69, 1,708.84 and 522.62

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Solution

The fourth proportional to 1,139.69, 1,708.84 and 522.62 is: 783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.69 : 1,708.84 = 522.62 : x
  2. Step 2: Convert to fraction form
    1,139.69/1,708.84 = 522.62/x
  3. Step 3: Cross multiply
    1,139.69x = 1,708.84 × 522.62
  4. Step 4: Simplify right side
    1,139.69x = 893,070.58
  5. Step 5: Solve for x
    x = 893,070.58/1,139.69
  6. Step 6: Final answer
    x = 783.61

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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.