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Finding the Fourth Proportional to 891.30, 1,336.54 and 686.00

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Solution

The fourth proportional to 891.30, 1,336.54 and 686.00 is: 1,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.30 : 1,336.54 = 686.00 : x
  2. Step 2: Convert to fraction form
    891.30/1,336.54 = 686.00/x
  3. Step 3: Cross multiply
    891.30x = 1,336.54 × 686.00
  4. Step 4: Simplify right side
    891.30x = 916,859.76
  5. Step 5: Solve for x
    x = 916,859.76/891.30
  6. Step 6: Final answer
    x = 1,028.68

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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.