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Finding the Fourth Proportional to 1,153.66, 1,732.24 and 921.87

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Solution

The fourth proportional to 1,153.66, 1,732.24 and 921.87 is: 1,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.66 : 1,732.24 = 921.87 : x
  2. Step 2: Convert to fraction form
    1,153.66/1,732.24 = 921.87/x
  3. Step 3: Cross multiply
    1,153.66x = 1,732.24 × 921.87
  4. Step 4: Simplify right side
    1,153.66x = 1,596,900.09
  5. Step 5: Solve for x
    x = 1,596,900.09/1,153.66
  6. Step 6: Final answer
    x = 1,384.20

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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.