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Finding the Fourth Proportional to 710.87, 980.61 and 416.08

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Solution

The fourth proportional to 710.87, 980.61 and 416.08 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.87 : 980.61 = 416.08 : x
  2. Step 2: Convert to fraction form
    710.87/980.61 = 416.08/x
  3. Step 3: Cross multiply
    710.87x = 980.61 × 416.08
  4. Step 4: Simplify right side
    710.87x = 408,015.80
  5. Step 5: Solve for x
    x = 408,015.80/710.87
  6. Step 6: Final answer
    x = 573.96

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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.