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Finding the Fourth Proportional to 498.06, 687.15 and 332.01

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Solution

The fourth proportional to 498.06, 687.15 and 332.01 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 687.15 = 332.01 : x
  2. Step 2: Convert to fraction form
    498.06/687.15 = 332.01/x
  3. Step 3: Cross multiply
    498.06x = 687.15 × 332.01
  4. Step 4: Simplify right side
    498.06x = 228,140.67
  5. Step 5: Solve for x
    x = 228,140.67/498.06
  6. Step 6: Final answer
    x = 458.06

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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.