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Finding the Fourth Proportional to 847.27, 1,271.88 and 500.86

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Solution

The fourth proportional to 847.27, 1,271.88 and 500.86 is: 751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.27 : 1,271.88 = 500.86 : x
  2. Step 2: Convert to fraction form
    847.27/1,271.88 = 500.86/x
  3. Step 3: Cross multiply
    847.27x = 1,271.88 × 500.86
  4. Step 4: Simplify right side
    847.27x = 637,033.82
  5. Step 5: Solve for x
    x = 637,033.82/847.27
  6. Step 6: Final answer
    x = 751.87

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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.