Home / 1,023.14-1,534.30-660.26

Finding the Fourth Proportional to 1,023.14, 1,534.30 and 660.26

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Solution

The fourth proportional to 1,023.14, 1,534.30 and 660.26 is: 990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.14 : 1,534.30 = 660.26 : x
  2. Step 2: Convert to fraction form
    1,023.14/1,534.30 = 660.26/x
  3. Step 3: Cross multiply
    1,023.14x = 1,534.30 × 660.26
  4. Step 4: Simplify right side
    1,023.14x = 1,013,036.92
  5. Step 5: Solve for x
    x = 1,013,036.92/1,023.14
  6. Step 6: Final answer
    x = 990.13

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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.