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Finding the Fourth Proportional to 954.14, 1,316.49 and 691.70

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Solution

The fourth proportional to 954.14, 1,316.49 and 691.70 is: 954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,316.49 = 691.70 : x
  2. Step 2: Convert to fraction form
    954.14/1,316.49 = 691.70/x
  3. Step 3: Cross multiply
    954.14x = 1,316.49 × 691.70
  4. Step 4: Simplify right side
    954.14x = 910,616.13
  5. Step 5: Solve for x
    x = 910,616.13/954.14
  6. Step 6: Final answer
    x = 954.38

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1.5x scale

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.