Home / 1,537.12-2,305.28-714.58

Finding the Fourth Proportional to 1,537.12, 2,305.28 and 714.58

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Solution

The fourth proportional to 1,537.12, 2,305.28 and 714.58 is: 1,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.12 : 2,305.28 = 714.58 : x
  2. Step 2: Convert to fraction form
    1,537.12/2,305.28 = 714.58/x
  3. Step 3: Cross multiply
    1,537.12x = 2,305.28 × 714.58
  4. Step 4: Simplify right side
    1,537.12x = 1,647,306.98
  5. Step 5: Solve for x
    x = 1,647,306.98/1,537.12
  6. Step 6: Final answer
    x = 1,071.68

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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.