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Finding the Fourth Proportional to 956.14, 1,320.78 and 916.18

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Solution

The fourth proportional to 956.14, 1,320.78 and 916.18 is: 1,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.14 : 1,320.78 = 916.18 : x
  2. Step 2: Convert to fraction form
    956.14/1,320.78 = 916.18/x
  3. Step 3: Cross multiply
    956.14x = 1,320.78 × 916.18
  4. Step 4: Simplify right side
    956.14x = 1,210,072.22
  5. Step 5: Solve for x
    x = 1,210,072.22/956.14
  6. Step 6: Final answer
    x = 1,265.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.