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Finding the Fourth Proportional to 710.40, 980.40 and 477.68

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Solution

The fourth proportional to 710.40, 980.40 and 477.68 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.40 : 980.40 = 477.68 : x
  2. Step 2: Convert to fraction form
    710.40/980.40 = 477.68/x
  3. Step 3: Cross multiply
    710.40x = 980.40 × 477.68
  4. Step 4: Simplify right side
    710.40x = 468,317.47
  5. Step 5: Solve for x
    x = 468,317.47/710.40
  6. Step 6: Final answer
    x = 659.23

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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.