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Finding the Fourth Proportional to 710.80, 979.98 and 514.36

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Solution

The fourth proportional to 710.80, 979.98 and 514.36 is: 709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.80 : 979.98 = 514.36 : x
  2. Step 2: Convert to fraction form
    710.80/979.98 = 514.36/x
  3. Step 3: Cross multiply
    710.80x = 979.98 × 514.36
  4. Step 4: Simplify right side
    710.80x = 504,062.51
  5. Step 5: Solve for x
    x = 504,062.51/710.80
  6. Step 6: Final answer
    x = 709.15

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1.5x scale

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.