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Finding the Fourth Proportional to 1,172.61, 1,756.59 and 616.49

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Solution

The fourth proportional to 1,172.61, 1,756.59 and 616.49 is: 923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.61 : 1,756.59 = 616.49 : x
  2. Step 2: Convert to fraction form
    1,172.61/1,756.59 = 616.49/x
  3. Step 3: Cross multiply
    1,172.61x = 1,756.59 × 616.49
  4. Step 4: Simplify right side
    1,172.61x = 1,082,915.92
  5. Step 5: Solve for x
    x = 1,082,915.92/1,172.61
  6. Step 6: Final answer
    x = 923.51

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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.