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Finding the Fourth Proportional to 847.13, 1,170.50 and 699.50

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Solution

The fourth proportional to 847.13, 1,170.50 and 699.50 is: 966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.13 : 1,170.50 = 699.50 : x
  2. Step 2: Convert to fraction form
    847.13/1,170.50 = 699.50/x
  3. Step 3: Cross multiply
    847.13x = 1,170.50 × 699.50
  4. Step 4: Simplify right side
    847.13x = 818,764.18
  5. Step 5: Solve for x
    x = 818,764.18/847.13
  6. Step 6: Final answer
    x = 966.52

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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.