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Finding the Fourth Proportional to 916.42, 1,367.92 and 807.07

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Solution

The fourth proportional to 916.42, 1,367.92 and 807.07 is: 1,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.42 : 1,367.92 = 807.07 : x
  2. Step 2: Convert to fraction form
    916.42/1,367.92 = 807.07/x
  3. Step 3: Cross multiply
    916.42x = 1,367.92 × 807.07
  4. Step 4: Simplify right side
    916.42x = 1,104,007.19
  5. Step 5: Solve for x
    x = 1,104,007.19/916.42
  6. Step 6: Final answer
    x = 1,204.70

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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.