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Finding the Fourth Proportional to 977.29, 1,465.87 and 360.71

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Solution

The fourth proportional to 977.29, 1,465.87 and 360.71 is: 541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.29 : 1,465.87 = 360.71 : x
  2. Step 2: Convert to fraction form
    977.29/1,465.87 = 360.71/x
  3. Step 3: Cross multiply
    977.29x = 1,465.87 × 360.71
  4. Step 4: Simplify right side
    977.29x = 528,753.97
  5. Step 5: Solve for x
    x = 528,753.97/977.29
  6. Step 6: Final answer
    x = 541.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.