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Finding the Fourth Proportional to 827.61, 1,238.67 and 501.38

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Solution

The fourth proportional to 827.61, 1,238.67 and 501.38 is: 750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.61 : 1,238.67 = 501.38 : x
  2. Step 2: Convert to fraction form
    827.61/1,238.67 = 501.38/x
  3. Step 3: Cross multiply
    827.61x = 1,238.67 × 501.38
  4. Step 4: Simplify right side
    827.61x = 621,038.17
  5. Step 5: Solve for x
    x = 621,038.17/827.61
  6. Step 6: Final answer
    x = 750.40

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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.