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Finding the Fourth Proportional to 642.10, 885.10 and 537.54

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Solution

The fourth proportional to 642.10, 885.10 and 537.54 is: 740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 885.10 = 537.54 : x
  2. Step 2: Convert to fraction form
    642.10/885.10 = 537.54/x
  3. Step 3: Cross multiply
    642.10x = 885.10 × 537.54
  4. Step 4: Simplify right side
    642.10x = 475,776.65
  5. Step 5: Solve for x
    x = 475,776.65/642.10
  6. Step 6: Final answer
    x = 740.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.