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Finding the Fourth Proportional to 847.61, 1,271.29 and 292.41

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Solution

The fourth proportional to 847.61, 1,271.29 and 292.41 is: 438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.61 : 1,271.29 = 292.41 : x
  2. Step 2: Convert to fraction form
    847.61/1,271.29 = 292.41/x
  3. Step 3: Cross multiply
    847.61x = 1,271.29 × 292.41
  4. Step 4: Simplify right side
    847.61x = 371,732.78
  5. Step 5: Solve for x
    x = 371,732.78/847.61
  6. Step 6: Final answer
    x = 438.57

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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.