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Finding the Fourth Proportional to 498.65, 687.56 and 332.51

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Solution

The fourth proportional to 498.65, 687.56 and 332.51 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 687.56 = 332.51 : x
  2. Step 2: Convert to fraction form
    498.65/687.56 = 332.51/x
  3. Step 3: Cross multiply
    498.65x = 687.56 × 332.51
  4. Step 4: Simplify right side
    498.65x = 228,615.48
  5. Step 5: Solve for x
    x = 228,615.48/498.65
  6. Step 6: Final answer
    x = 458.47

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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.