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Finding the Fourth Proportional to 710.88, 980.28 and 477.60

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Solution

The fourth proportional to 710.88, 980.28 and 477.60 is: 658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.88 : 980.28 = 477.60 : x
  2. Step 2: Convert to fraction form
    710.88/980.28 = 477.60/x
  3. Step 3: Cross multiply
    710.88x = 980.28 × 477.60
  4. Step 4: Simplify right side
    710.88x = 468,181.73
  5. Step 5: Solve for x
    x = 468,181.73/710.88
  6. Step 6: Final answer
    x = 658.59

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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.