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Finding the Fourth Proportional to 654.66, 980.10 and 589.05

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Solution

The fourth proportional to 654.66, 980.10 and 589.05 is: 881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 980.10 = 589.05 : x
  2. Step 2: Convert to fraction form
    654.66/980.10 = 589.05/x
  3. Step 3: Cross multiply
    654.66x = 980.10 × 589.05
  4. Step 4: Simplify right side
    654.66x = 577,327.91
  5. Step 5: Solve for x
    x = 577,327.91/654.66
  6. Step 6: Final answer
    x = 881.87

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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.