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Finding the Fourth Proportional to 710.73, 980.78 and 416.16

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Solution

The fourth proportional to 710.73, 980.78 and 416.16 is: 574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.73 : 980.78 = 416.16 : x
  2. Step 2: Convert to fraction form
    710.73/980.78 = 416.16/x
  3. Step 3: Cross multiply
    710.73x = 980.78 × 416.16
  4. Step 4: Simplify right side
    710.73x = 408,159.32
  5. Step 5: Solve for x
    x = 408,159.32/710.73
  6. Step 6: Final answer
    x = 574.28

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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.