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Finding the Fourth Proportional to 654.32, 976.42 and 581.60

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Solution

The fourth proportional to 654.32, 976.42 and 581.60 is: 867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 976.42 = 581.60 : x
  2. Step 2: Convert to fraction form
    654.32/976.42 = 581.60/x
  3. Step 3: Cross multiply
    654.32x = 976.42 × 581.60
  4. Step 4: Simplify right side
    654.32x = 567,885.87
  5. Step 5: Solve for x
    x = 567,885.87/654.32
  6. Step 6: Final answer
    x = 867.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.