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Finding the Fourth Proportional to 916.91, 1,372.77 and 830.40

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Solution

The fourth proportional to 916.91, 1,372.77 and 830.40 is: 1,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.91 : 1,372.77 = 830.40 : x
  2. Step 2: Convert to fraction form
    916.91/1,372.77 = 830.40/x
  3. Step 3: Cross multiply
    916.91x = 1,372.77 × 830.40
  4. Step 4: Simplify right side
    916.91x = 1,139,948.21
  5. Step 5: Solve for x
    x = 1,139,948.21/916.91
  6. Step 6: Final answer
    x = 1,243.25

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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.