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Finding the Fourth Proportional to 1,488.54, 2,232.78 and 392.88

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Solution

The fourth proportional to 1,488.54, 2,232.78 and 392.88 is: 589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.54 : 2,232.78 = 392.88 : x
  2. Step 2: Convert to fraction form
    1,488.54/2,232.78 = 392.88/x
  3. Step 3: Cross multiply
    1,488.54x = 2,232.78 × 392.88
  4. Step 4: Simplify right side
    1,488.54x = 877,214.61
  5. Step 5: Solve for x
    x = 877,214.61/1,488.54
  6. Step 6: Final answer
    x = 589.31

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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.