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Finding the Fourth Proportional to 916.46, 1,377.44 and 807.12

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Solution

The fourth proportional to 916.46, 1,377.44 and 807.12 is: 1,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.46 : 1,377.44 = 807.12 : x
  2. Step 2: Convert to fraction form
    916.46/1,377.44 = 807.12/x
  3. Step 3: Cross multiply
    916.46x = 1,377.44 × 807.12
  4. Step 4: Simplify right side
    916.46x = 1,111,759.37
  5. Step 5: Solve for x
    x = 1,111,759.37/916.46
  6. Step 6: Final answer
    x = 1,213.10

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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.