Home / 1,029.20-1,420.15-587.01

Finding the Fourth Proportional to 1,029.20, 1,420.15 and 587.01

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Solution

The fourth proportional to 1,029.20, 1,420.15 and 587.01 is: 809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.20 : 1,420.15 = 587.01 : x
  2. Step 2: Convert to fraction form
    1,029.20/1,420.15 = 587.01/x
  3. Step 3: Cross multiply
    1,029.20x = 1,420.15 × 587.01
  4. Step 4: Simplify right side
    1,029.20x = 833,642.25
  5. Step 5: Solve for x
    x = 833,642.25/1,029.20
  6. Step 6: Final answer
    x = 809.99

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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.