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Finding the Fourth Proportional to 710.69, 980.84 and 400.19

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Solution

The fourth proportional to 710.69, 980.84 and 400.19 is: 552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.69 : 980.84 = 400.19 : x
  2. Step 2: Convert to fraction form
    710.69/980.84 = 400.19/x
  3. Step 3: Cross multiply
    710.69x = 980.84 × 400.19
  4. Step 4: Simplify right side
    710.69x = 392,522.36
  5. Step 5: Solve for x
    x = 392,522.36/710.69
  6. Step 6: Final answer
    x = 552.31

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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.