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Finding the Fourth Proportional to 1,594.40, 2,391.56 and 499.28

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Solution

The fourth proportional to 1,594.40, 2,391.56 and 499.28 is: 748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.40 : 2,391.56 = 499.28 : x
  2. Step 2: Convert to fraction form
    1,594.40/2,391.56 = 499.28/x
  3. Step 3: Cross multiply
    1,594.40x = 2,391.56 × 499.28
  4. Step 4: Simplify right side
    1,594.40x = 1,194,058.08
  5. Step 5: Solve for x
    x = 1,194,058.08/1,594.40
  6. Step 6: Final answer
    x = 748.91

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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.