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Finding the Fourth Proportional to 906.21, 1,360.80 and 686.88

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Solution

The fourth proportional to 906.21, 1,360.80 and 686.88 is: 1,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.21 : 1,360.80 = 686.88 : x
  2. Step 2: Convert to fraction form
    906.21/1,360.80 = 686.88/x
  3. Step 3: Cross multiply
    906.21x = 1,360.80 × 686.88
  4. Step 4: Simplify right side
    906.21x = 934,706.30
  5. Step 5: Solve for x
    x = 934,706.30/906.21
  6. Step 6: Final answer
    x = 1,031.45

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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.