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Finding the Fourth Proportional to 1,129.62, 1,693.38 and 717.50

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Solution

The fourth proportional to 1,129.62, 1,693.38 and 717.50 is: 1,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.62 : 1,693.38 = 717.50 : x
  2. Step 2: Convert to fraction form
    1,129.62/1,693.38 = 717.50/x
  3. Step 3: Cross multiply
    1,129.62x = 1,693.38 × 717.50
  4. Step 4: Simplify right side
    1,129.62x = 1,215,000.15
  5. Step 5: Solve for x
    x = 1,215,000.15/1,129.62
  6. Step 6: Final answer
    x = 1,075.58

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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.