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Finding the Fourth Proportional to 954.24, 1,316.06 and 931.70

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Solution

The fourth proportional to 954.24, 1,316.06 and 931.70 is: 1,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.24 : 1,316.06 = 931.70 : x
  2. Step 2: Convert to fraction form
    954.24/1,316.06 = 931.70/x
  3. Step 3: Cross multiply
    954.24x = 1,316.06 × 931.70
  4. Step 4: Simplify right side
    954.24x = 1,226,173.10
  5. Step 5: Solve for x
    x = 1,226,173.10/954.24
  6. Step 6: Final answer
    x = 1,284.97

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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.