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Finding the Fourth Proportional to 488.04, 731.10 and 448.68

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Solution

The fourth proportional to 488.04, 731.10 and 448.68 is: 672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.04 : 731.10 = 448.68 : x
  2. Step 2: Convert to fraction form
    488.04/731.10 = 448.68/x
  3. Step 3: Cross multiply
    488.04x = 731.10 × 448.68
  4. Step 4: Simplify right side
    488.04x = 328,029.95
  5. Step 5: Solve for x
    x = 328,029.95/488.04
  6. Step 6: Final answer
    x = 672.14

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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.