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Finding the Fourth Proportional to 1,154.56, 1,732.16 and 384.96

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Solution

The fourth proportional to 1,154.56, 1,732.16 and 384.96 is: 577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.56 : 1,732.16 = 384.96 : x
  2. Step 2: Convert to fraction form
    1,154.56/1,732.16 = 384.96/x
  3. Step 3: Cross multiply
    1,154.56x = 1,732.16 × 384.96
  4. Step 4: Simplify right side
    1,154.56x = 666,812.31
  5. Step 5: Solve for x
    x = 666,812.31/1,154.56
  6. Step 6: Final answer
    x = 577.55

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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.