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Finding the Fourth Proportional to 1,008.23, 1,508.45 and 618.14

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Solution

The fourth proportional to 1,008.23, 1,508.45 and 618.14 is: 924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.23 : 1,508.45 = 618.14 : x
  2. Step 2: Convert to fraction form
    1,008.23/1,508.45 = 618.14/x
  3. Step 3: Cross multiply
    1,008.23x = 1,508.45 × 618.14
  4. Step 4: Simplify right side
    1,008.23x = 932,438.60
  5. Step 5: Solve for x
    x = 932,438.60/1,008.23
  6. Step 6: Final answer
    x = 924.83

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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.