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Finding the Fourth Proportional to 976.43, 1,464.21 and 282.93

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Solution

The fourth proportional to 976.43, 1,464.21 and 282.93 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.43 : 1,464.21 = 282.93 : x
  2. Step 2: Convert to fraction form
    976.43/1,464.21 = 282.93/x
  3. Step 3: Cross multiply
    976.43x = 1,464.21 × 282.93
  4. Step 4: Simplify right side
    976.43x = 414,269.64
  5. Step 5: Solve for x
    x = 414,269.64/976.43
  6. Step 6: Final answer
    x = 424.27

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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.