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Finding the Fourth Proportional to 976.71, 1,465.43 and 360.83

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Solution

The fourth proportional to 976.71, 1,465.43 and 360.83 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.71 : 1,465.43 = 360.83 : x
  2. Step 2: Convert to fraction form
    976.71/1,465.43 = 360.83/x
  3. Step 3: Cross multiply
    976.71x = 1,465.43 × 360.83
  4. Step 4: Simplify right side
    976.71x = 528,761.98
  5. Step 5: Solve for x
    x = 528,761.98/976.71
  6. Step 6: Final answer
    x = 541.37

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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.