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Finding the Fourth Proportional to 924.89, 1,387.37 and 257.76

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Solution

The fourth proportional to 924.89, 1,387.37 and 257.76 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.89 : 1,387.37 = 257.76 : x
  2. Step 2: Convert to fraction form
    924.89/1,387.37 = 257.76/x
  3. Step 3: Cross multiply
    924.89x = 1,387.37 × 257.76
  4. Step 4: Simplify right side
    924.89x = 357,609.14
  5. Step 5: Solve for x
    x = 357,609.14/924.89
  6. Step 6: Final answer
    x = 386.65

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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.