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Finding the Fourth Proportional to 745, 1,117.56 and 257.92

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Solution

The fourth proportional to 745, 1,117.56 and 257.92 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    745 : 1,117.56 = 257.92 : x
  2. Step 2: Convert to fraction form
    745/1,117.56 = 257.92/x
  3. Step 3: Cross multiply
    745x = 1,117.56 × 257.92
  4. Step 4: Simplify right side
    745x = 288,241.08
  5. Step 5: Solve for x
    x = 288,241.08/745
  6. Step 6: Final answer
    x = 386.90

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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.