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Finding the Fourth Proportional to 498.72, 689.04 and 415.56

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Solution

The fourth proportional to 498.72, 689.04 and 415.56 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 689.04 = 415.56 : x
  2. Step 2: Convert to fraction form
    498.72/689.04 = 415.56/x
  3. Step 3: Cross multiply
    498.72x = 689.04 × 415.56
  4. Step 4: Simplify right side
    498.72x = 286,337.46
  5. Step 5: Solve for x
    x = 286,337.46/498.72
  6. Step 6: Final answer
    x = 574.14

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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.