Home / 1,538.17-2,306.57-442.28

Finding the Fourth Proportional to 1,538.17, 2,306.57 and 442.28

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Solution

The fourth proportional to 1,538.17, 2,306.57 and 442.28 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.17 : 2,306.57 = 442.28 : x
  2. Step 2: Convert to fraction form
    1,538.17/2,306.57 = 442.28/x
  3. Step 3: Cross multiply
    1,538.17x = 2,306.57 × 442.28
  4. Step 4: Simplify right side
    1,538.17x = 1,020,153.33
  5. Step 5: Solve for x
    x = 1,020,153.33/1,538.17
  6. Step 6: Final answer
    x = 663.23

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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.