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Finding the Fourth Proportional to 498.84, 691.53 and 472.49

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Solution

The fourth proportional to 498.84, 691.53 and 472.49 is: 655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 691.53 = 472.49 : x
  2. Step 2: Convert to fraction form
    498.84/691.53 = 472.49/x
  3. Step 3: Cross multiply
    498.84x = 691.53 × 472.49
  4. Step 4: Simplify right side
    498.84x = 326,741.01
  5. Step 5: Solve for x
    x = 326,741.01/498.84
  6. Step 6: Final answer
    x = 655.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.