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Finding the Fourth Proportional to 690.76, 1,036.29 and 257.92

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Solution

The fourth proportional to 690.76, 1,036.29 and 257.92 is: 386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.76 : 1,036.29 = 257.92 : x
  2. Step 2: Convert to fraction form
    690.76/1,036.29 = 257.92/x
  3. Step 3: Cross multiply
    690.76x = 1,036.29 × 257.92
  4. Step 4: Simplify right side
    690.76x = 267,278.29
  5. Step 5: Solve for x
    x = 267,278.29/690.76
  6. Step 6: Final answer
    x = 386.93

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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.