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Finding the Fourth Proportional to 916.60, 1,363.90 and 913.52

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Solution

The fourth proportional to 916.60, 1,363.90 and 913.52 is: 1,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.60 : 1,363.90 = 913.52 : x
  2. Step 2: Convert to fraction form
    916.60/1,363.90 = 913.52/x
  3. Step 3: Cross multiply
    916.60x = 1,363.90 × 913.52
  4. Step 4: Simplify right side
    916.60x = 1,245,949.93
  5. Step 5: Solve for x
    x = 1,245,949.93/916.60
  6. Step 6: Final answer
    x = 1,359.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.