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Finding the Fourth Proportional to 710.91, 980.91 and 514.08

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Solution

The fourth proportional to 710.91, 980.91 and 514.08 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.91 : 980.91 = 514.08 : x
  2. Step 2: Convert to fraction form
    710.91/980.91 = 514.08/x
  3. Step 3: Cross multiply
    710.91x = 980.91 × 514.08
  4. Step 4: Simplify right side
    710.91x = 504,266.21
  5. Step 5: Solve for x
    x = 504,266.21/710.91
  6. Step 6: Final answer
    x = 709.32

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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.