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Finding the Fourth Proportional to 916.98, 1,373.40 and 886.22

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Solution

The fourth proportional to 916.98, 1,373.40 and 886.22 is: 1,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.98 : 1,373.40 = 886.22 : x
  2. Step 2: Convert to fraction form
    916.98/1,373.40 = 886.22/x
  3. Step 3: Cross multiply
    916.98x = 1,373.40 × 886.22
  4. Step 4: Simplify right side
    916.98x = 1,217,134.55
  5. Step 5: Solve for x
    x = 1,217,134.55/916.98
  6. Step 6: Final answer
    x = 1,327.33

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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.