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Finding the Fourth Proportional to 847.40, 1,166.82 and 637.88

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Solution

The fourth proportional to 847.40, 1,166.82 and 637.88 is: 878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.40 : 1,166.82 = 637.88 : x
  2. Step 2: Convert to fraction form
    847.40/1,166.82 = 637.88/x
  3. Step 3: Cross multiply
    847.40x = 1,166.82 × 637.88
  4. Step 4: Simplify right side
    847.40x = 744,291.14
  5. Step 5: Solve for x
    x = 744,291.14/847.40
  6. Step 6: Final answer
    x = 878.32

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1.5x scale

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.