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Finding the Fourth Proportional to 710.56, 980.72 and 415.90

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Solution

The fourth proportional to 710.56, 980.72 and 415.90 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.56 : 980.72 = 415.90 : x
  2. Step 2: Convert to fraction form
    710.56/980.72 = 415.90/x
  3. Step 3: Cross multiply
    710.56x = 980.72 × 415.90
  4. Step 4: Simplify right side
    710.56x = 407,876.92
  5. Step 5: Solve for x
    x = 407,876.92/710.56
  6. Step 6: Final answer
    x = 574.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.