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Finding the Fourth Proportional to 1,029.43, 1,420.61 and 587.59

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Solution

The fourth proportional to 1,029.43, 1,420.61 and 587.59 is: 810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.43 : 1,420.61 = 587.59 : x
  2. Step 2: Convert to fraction form
    1,029.43/1,420.61 = 587.59/x
  3. Step 3: Cross multiply
    1,029.43x = 1,420.61 × 587.59
  4. Step 4: Simplify right side
    1,029.43x = 834,729.84
  5. Step 5: Solve for x
    x = 834,729.84/1,029.43
  6. Step 6: Final answer
    x = 810.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.