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Finding the Fourth Proportional to 498.93, 742.31 and 473.01

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Solution

The fourth proportional to 498.93, 742.31 and 473.01 is: 703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.93 : 742.31 = 473.01 : x
  2. Step 2: Convert to fraction form
    498.93/742.31 = 473.01/x
  3. Step 3: Cross multiply
    498.93x = 742.31 × 473.01
  4. Step 4: Simplify right side
    498.93x = 351,117.69
  5. Step 5: Solve for x
    x = 351,117.69/498.93
  6. Step 6: Final answer
    x = 703.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.