Home / 1,035.23-1,428.61-587.18

Finding the Fourth Proportional to 1,035.23, 1,428.61 and 587.18

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Solution

The fourth proportional to 1,035.23, 1,428.61 and 587.18 is: 810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.23 : 1,428.61 = 587.18 : x
  2. Step 2: Convert to fraction form
    1,035.23/1,428.61 = 587.18/x
  3. Step 3: Cross multiply
    1,035.23x = 1,428.61 × 587.18
  4. Step 4: Simplify right side
    1,035.23x = 838,853.32
  5. Step 5: Solve for x
    x = 838,853.32/1,035.23
  6. Step 6: Final answer
    x = 810.31

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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.