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Finding the Fourth Proportional to 1,172.61, 1,758.91 and 688.74

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Solution

The fourth proportional to 1,172.61, 1,758.91 and 688.74 is: 1,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.61 : 1,758.91 = 688.74 : x
  2. Step 2: Convert to fraction form
    1,172.61/1,758.91 = 688.74/x
  3. Step 3: Cross multiply
    1,172.61x = 1,758.91 × 688.74
  4. Step 4: Simplify right side
    1,172.61x = 1,211,431.67
  5. Step 5: Solve for x
    x = 1,211,431.67/1,172.61
  6. Step 6: Final answer
    x = 1,033.11

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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.