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Finding the Fourth Proportional to 976.71, 1,465.47 and 428.61

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Solution

The fourth proportional to 976.71, 1,465.47 and 428.61 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.71 : 1,465.47 = 428.61 : x
  2. Step 2: Convert to fraction form
    976.71/1,465.47 = 428.61/x
  3. Step 3: Cross multiply
    976.71x = 1,465.47 × 428.61
  4. Step 4: Simplify right side
    976.71x = 628,115.10
  5. Step 5: Solve for x
    x = 628,115.10/976.71
  6. Step 6: Final answer
    x = 643.09

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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.