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Finding the Fourth Proportional to 654.21, 980.10 and 581.31

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Solution

The fourth proportional to 654.21, 980.10 and 581.31 is: 870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 980.10 = 581.31 : x
  2. Step 2: Convert to fraction form
    654.21/980.10 = 581.31/x
  3. Step 3: Cross multiply
    654.21x = 980.10 × 581.31
  4. Step 4: Simplify right side
    654.21x = 569,741.93
  5. Step 5: Solve for x
    x = 569,741.93/654.21
  6. Step 6: Final answer
    x = 870.89

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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.