Home / 1,029.45-1,420.65-587.49

Finding the Fourth Proportional to 1,029.45, 1,420.65 and 587.49

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Solution

The fourth proportional to 1,029.45, 1,420.65 and 587.49 is: 810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.45 : 1,420.65 = 587.49 : x
  2. Step 2: Convert to fraction form
    1,029.45/1,420.65 = 587.49/x
  3. Step 3: Cross multiply
    1,029.45x = 1,420.65 × 587.49
  4. Step 4: Simplify right side
    1,029.45x = 834,614.73
  5. Step 5: Solve for x
    x = 834,614.73/1,029.45
  6. Step 6: Final answer
    x = 810.74

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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.