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Finding the Fourth Proportional to 976.59, 1,464.97 and 283.27

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Solution

The fourth proportional to 976.59, 1,464.97 and 283.27 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.59 : 1,464.97 = 283.27 : x
  2. Step 2: Convert to fraction form
    976.59/1,464.97 = 283.27/x
  3. Step 3: Cross multiply
    976.59x = 1,464.97 × 283.27
  4. Step 4: Simplify right side
    976.59x = 414,980.64
  5. Step 5: Solve for x
    x = 414,980.64/976.59
  6. Step 6: Final answer
    x = 424.93

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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.