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Finding the Fourth Proportional to 710.44, 980.71 and 477.70

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Solution

The fourth proportional to 710.44, 980.71 and 477.70 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.44 : 980.71 = 477.70 : x
  2. Step 2: Convert to fraction form
    710.44/980.71 = 477.70/x
  3. Step 3: Cross multiply
    710.44x = 980.71 × 477.70
  4. Step 4: Simplify right side
    710.44x = 468,488.81
  5. Step 5: Solve for x
    x = 468,488.81/710.44
  6. Step 6: Final answer
    x = 659.43

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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.