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Finding the Fourth Proportional to 488.63, 674.10 and 320.53

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Solution

The fourth proportional to 488.63, 674.10 and 320.53 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 674.10 = 320.53 : x
  2. Step 2: Convert to fraction form
    488.63/674.10 = 320.53/x
  3. Step 3: Cross multiply
    488.63x = 674.10 × 320.53
  4. Step 4: Simplify right side
    488.63x = 216,069.27
  5. Step 5: Solve for x
    x = 216,069.27/488.63
  6. Step 6: Final answer
    x = 442.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.