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Finding the Fourth Proportional to 498.31, 747.77 and 315.77

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Solution

The fourth proportional to 498.31, 747.77 and 315.77 is: 473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.31 : 747.77 = 315.77 : x
  2. Step 2: Convert to fraction form
    498.31/747.77 = 315.77/x
  3. Step 3: Cross multiply
    498.31x = 747.77 × 315.77
  4. Step 4: Simplify right side
    498.31x = 236,118.02
  5. Step 5: Solve for x
    x = 236,118.02/498.31
  6. Step 6: Final answer
    x = 473.84

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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.