Home / 1,029.20-1,419.95-587.01

Finding the Fourth Proportional to 1,029.20, 1,419.95 and 587.01

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Solution

The fourth proportional to 1,029.20, 1,419.95 and 587.01 is: 809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.20 : 1,419.95 = 587.01 : x
  2. Step 2: Convert to fraction form
    1,029.20/1,419.95 = 587.01/x
  3. Step 3: Cross multiply
    1,029.20x = 1,419.95 × 587.01
  4. Step 4: Simplify right side
    1,029.20x = 833,526.32
  5. Step 5: Solve for x
    x = 833,526.32/1,029.20
  6. Step 6: Final answer
    x = 809.88

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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.