Home / 1,537.28-2,306.14-497.08

Finding the Fourth Proportional to 1,537.28, 2,306.14 and 497.08

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Solution

The fourth proportional to 1,537.28, 2,306.14 and 497.08 is: 745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.28 : 2,306.14 = 497.08 : x
  2. Step 2: Convert to fraction form
    1,537.28/2,306.14 = 497.08/x
  3. Step 3: Cross multiply
    1,537.28x = 2,306.14 × 497.08
  4. Step 4: Simplify right side
    1,537.28x = 1,146,329.06
  5. Step 5: Solve for x
    x = 1,146,329.06/1,537.28
  6. Step 6: Final answer
    x = 745.69

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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.