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Finding the Fourth Proportional to 654.62, 979.02 and 581.96

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Solution

The fourth proportional to 654.62, 979.02 and 581.96 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.62 : 979.02 = 581.96 : x
  2. Step 2: Convert to fraction form
    654.62/979.02 = 581.96/x
  3. Step 3: Cross multiply
    654.62x = 979.02 × 581.96
  4. Step 4: Simplify right side
    654.62x = 569,750.48
  5. Step 5: Solve for x
    x = 569,750.48/654.62
  6. Step 6: Final answer
    x = 870.35

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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.