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Finding the Fourth Proportional to 977.17, 1,354.15 and 958.71

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Solution

The fourth proportional to 977.17, 1,354.15 and 958.71 is: 1,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.17 : 1,354.15 = 958.71 : x
  2. Step 2: Convert to fraction form
    977.17/1,354.15 = 958.71/x
  3. Step 3: Cross multiply
    977.17x = 1,354.15 × 958.71
  4. Step 4: Simplify right side
    977.17x = 1,298,232.35
  5. Step 5: Solve for x
    x = 1,298,232.35/977.17
  6. Step 6: Final answer
    x = 1,328.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.