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Finding the Fourth Proportional to 710.64, 980.88 and 416.04

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Solution

The fourth proportional to 710.64, 980.88 and 416.04 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.64 : 980.88 = 416.04 : x
  2. Step 2: Convert to fraction form
    710.64/980.88 = 416.04/x
  3. Step 3: Cross multiply
    710.64x = 980.88 × 416.04
  4. Step 4: Simplify right side
    710.64x = 408,085.32
  5. Step 5: Solve for x
    x = 408,085.32/710.64
  6. Step 6: Final answer
    x = 574.25

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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.