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Finding the Fourth Proportional to 498.19, 687.45 and 320.89

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Solution

The fourth proportional to 498.19, 687.45 and 320.89 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.19 : 687.45 = 320.89 : x
  2. Step 2: Convert to fraction form
    498.19/687.45 = 320.89/x
  3. Step 3: Cross multiply
    498.19x = 687.45 × 320.89
  4. Step 4: Simplify right side
    498.19x = 220,595.83
  5. Step 5: Solve for x
    x = 220,595.83/498.19
  6. Step 6: Final answer
    x = 442.79

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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.