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Finding the Fourth Proportional to 654.93, 980.78 and 410.72

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Solution

The fourth proportional to 654.93, 980.78 and 410.72 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 980.78 = 410.72 : x
  2. Step 2: Convert to fraction form
    654.93/980.78 = 410.72/x
  3. Step 3: Cross multiply
    654.93x = 980.78 × 410.72
  4. Step 4: Simplify right side
    654.93x = 402,819.00
  5. Step 5: Solve for x
    x = 402,819.00/654.93
  6. Step 6: Final answer
    x = 615.06

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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.