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Finding the Fourth Proportional to 1,035.80, 1,556.18 and 998.87

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Solution

The fourth proportional to 1,035.80, 1,556.18 and 998.87 is: 1,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.80 : 1,556.18 = 998.87 : x
  2. Step 2: Convert to fraction form
    1,035.80/1,556.18 = 998.87/x
  3. Step 3: Cross multiply
    1,035.80x = 1,556.18 × 998.87
  4. Step 4: Simplify right side
    1,035.80x = 1,554,421.52
  5. Step 5: Solve for x
    x = 1,554,421.52/1,035.80
  6. Step 6: Final answer
    x = 1,500.70

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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.