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Finding the Fourth Proportional to 976.82, 1,465.18 and 283.47

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Solution

The fourth proportional to 976.82, 1,465.18 and 283.47 is: 425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.82 : 1,465.18 = 283.47 : x
  2. Step 2: Convert to fraction form
    976.82/1,465.18 = 283.47/x
  3. Step 3: Cross multiply
    976.82x = 1,465.18 × 283.47
  4. Step 4: Simplify right side
    976.82x = 415,340.34
  5. Step 5: Solve for x
    x = 415,340.34/976.82
  6. Step 6: Final answer
    x = 425.20

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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.