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Finding the Fourth Proportional to 710.68, 980.85 and 431.08

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Solution

The fourth proportional to 710.68, 980.85 and 431.08 is: 594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.68 : 980.85 = 431.08 : x
  2. Step 2: Convert to fraction form
    710.68/980.85 = 431.08/x
  3. Step 3: Cross multiply
    710.68x = 980.85 × 431.08
  4. Step 4: Simplify right side
    710.68x = 422,824.82
  5. Step 5: Solve for x
    x = 422,824.82/710.68
  6. Step 6: Final answer
    x = 594.96

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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.