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Finding the Fourth Proportional to 1,001.19, 1,503.41 and 618.87

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Solution

The fourth proportional to 1,001.19, 1,503.41 and 618.87 is: 929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.19 : 1,503.41 = 618.87 : x
  2. Step 2: Convert to fraction form
    1,001.19/1,503.41 = 618.87/x
  3. Step 3: Cross multiply
    1,001.19x = 1,503.41 × 618.87
  4. Step 4: Simplify right side
    1,001.19x = 930,412.25
  5. Step 5: Solve for x
    x = 930,412.25/1,001.19
  6. Step 6: Final answer
    x = 929.31

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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.