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Finding the Fourth Proportional to 498.51, 748.29 and 315.45

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Solution

The fourth proportional to 498.51, 748.29 and 315.45 is: 473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.51 : 748.29 = 315.45 : x
  2. Step 2: Convert to fraction form
    498.51/748.29 = 315.45/x
  3. Step 3: Cross multiply
    498.51x = 748.29 × 315.45
  4. Step 4: Simplify right side
    498.51x = 236,048.08
  5. Step 5: Solve for x
    x = 236,048.08/498.51
  6. Step 6: Final answer
    x = 473.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.