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Finding the Fourth Proportional to 891.40, 1,230.90 and 656.68

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Solution

The fourth proportional to 891.40, 1,230.90 and 656.68 is: 906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.40 : 1,230.90 = 656.68 : x
  2. Step 2: Convert to fraction form
    891.40/1,230.90 = 656.68/x
  3. Step 3: Cross multiply
    891.40x = 1,230.90 × 656.68
  4. Step 4: Simplify right side
    891.40x = 808,307.41
  5. Step 5: Solve for x
    x = 808,307.41/891.40
  6. Step 6: Final answer
    x = 906.78

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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.