Home / 1,537.65-2,306.58-550.66

Finding the Fourth Proportional to 1,537.65, 2,306.58 and 550.66

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Solution

The fourth proportional to 1,537.65, 2,306.58 and 550.66 is: 826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.65 : 2,306.58 = 550.66 : x
  2. Step 2: Convert to fraction form
    1,537.65/2,306.58 = 550.66/x
  3. Step 3: Cross multiply
    1,537.65x = 2,306.58 × 550.66
  4. Step 4: Simplify right side
    1,537.65x = 1,270,141.34
  5. Step 5: Solve for x
    x = 1,270,141.34/1,537.65
  6. Step 6: Final answer
    x = 826.03

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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.