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Finding the Fourth Proportional to 1,001.08, 1,501.46 and 618.68

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Solution

The fourth proportional to 1,001.08, 1,501.46 and 618.68 is: 927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.08 : 1,501.46 = 618.68 : x
  2. Step 2: Convert to fraction form
    1,001.08/1,501.46 = 618.68/x
  3. Step 3: Cross multiply
    1,001.08x = 1,501.46 × 618.68
  4. Step 4: Simplify right side
    1,001.08x = 928,923.27
  5. Step 5: Solve for x
    x = 928,923.27/1,001.08
  6. Step 6: Final answer
    x = 927.92

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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.