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Finding the Fourth Proportional to 998.76, 1,505.68 and 931.89

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Solution

The fourth proportional to 998.76, 1,505.68 and 931.89 is: 1,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.76 : 1,505.68 = 931.89 : x
  2. Step 2: Convert to fraction form
    998.76/1,505.68 = 931.89/x
  3. Step 3: Cross multiply
    998.76x = 1,505.68 × 931.89
  4. Step 4: Simplify right side
    998.76x = 1,403,128.14
  5. Step 5: Solve for x
    x = 1,403,128.14/998.76
  6. Step 6: Final answer
    x = 1,404.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.