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Finding the Fourth Proportional to 709.98, 980.85 and 568.50

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Solution

The fourth proportional to 709.98, 980.85 and 568.50 is: 785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.98 : 980.85 = 568.50 : x
  2. Step 2: Convert to fraction form
    709.98/980.85 = 568.50/x
  3. Step 3: Cross multiply
    709.98x = 980.85 × 568.50
  4. Step 4: Simplify right side
    709.98x = 557,613.23
  5. Step 5: Solve for x
    x = 557,613.23/709.98
  6. Step 6: Final answer
    x = 785.39

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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.