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Finding the Fourth Proportional to 847.22, 1,267.79 and 500.74

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Solution

The fourth proportional to 847.22, 1,267.79 and 500.74 is: 749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.22 : 1,267.79 = 500.74 : x
  2. Step 2: Convert to fraction form
    847.22/1,267.79 = 500.74/x
  3. Step 3: Cross multiply
    847.22x = 1,267.79 × 500.74
  4. Step 4: Simplify right side
    847.22x = 634,835.06
  5. Step 5: Solve for x
    x = 634,835.06/847.22
  6. Step 6: Final answer
    x = 749.32

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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.