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Finding the Fourth Proportional to 977.72, 1,346.28 and 956.12

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Solution

The fourth proportional to 977.72, 1,346.28 and 956.12 is: 1,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.72 : 1,346.28 = 956.12 : x
  2. Step 2: Convert to fraction form
    977.72/1,346.28 = 956.12/x
  3. Step 3: Cross multiply
    977.72x = 1,346.28 × 956.12
  4. Step 4: Simplify right side
    977.72x = 1,287,205.23
  5. Step 5: Solve for x
    x = 1,287,205.23/977.72
  6. Step 6: Final answer
    x = 1,316.54

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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.