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Finding the Fourth Proportional to 1,000.31, 1,494.40 and 836.29

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Solution

The fourth proportional to 1,000.31, 1,494.40 and 836.29 is: 1,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.31 : 1,494.40 = 836.29 : x
  2. Step 2: Convert to fraction form
    1,000.31/1,494.40 = 836.29/x
  3. Step 3: Cross multiply
    1,000.31x = 1,494.40 × 836.29
  4. Step 4: Simplify right side
    1,000.31x = 1,249,745.95
  5. Step 5: Solve for x
    x = 1,249,745.95/1,000.31
  6. Step 6: Final answer
    x = 1,249.36

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1.5x scale

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.