Home / 1,590.52-2,386.64-724.76

Finding the Fourth Proportional to 1,590.52, 2,386.64 and 724.76

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Solution

The fourth proportional to 1,590.52, 2,386.64 and 724.76 is: 1,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.52 : 2,386.64 = 724.76 : x
  2. Step 2: Convert to fraction form
    1,590.52/2,386.64 = 724.76/x
  3. Step 3: Cross multiply
    1,590.52x = 2,386.64 × 724.76
  4. Step 4: Simplify right side
    1,590.52x = 1,729,741.21
  5. Step 5: Solve for x
    x = 1,729,741.21/1,590.52
  6. Step 6: Final answer
    x = 1,087.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.