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Finding the Fourth Proportional to 926.48, 1,390.49 and 487.88

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Solution

The fourth proportional to 926.48, 1,390.49 and 487.88 is: 732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.48 : 1,390.49 = 487.88 : x
  2. Step 2: Convert to fraction form
    926.48/1,390.49 = 487.88/x
  3. Step 3: Cross multiply
    926.48x = 1,390.49 × 487.88
  4. Step 4: Simplify right side
    926.48x = 678,393.30
  5. Step 5: Solve for x
    x = 678,393.30/926.48
  6. Step 6: Final answer
    x = 732.23

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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.