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Finding the Fourth Proportional to 704.39, 971.70 and 480.16

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Solution

The fourth proportional to 704.39, 971.70 and 480.16 is: 662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.39 : 971.70 = 480.16 : x
  2. Step 2: Convert to fraction form
    704.39/971.70 = 480.16/x
  3. Step 3: Cross multiply
    704.39x = 971.70 × 480.16
  4. Step 4: Simplify right side
    704.39x = 466,566.61
  5. Step 5: Solve for x
    x = 466,566.61/704.39
  6. Step 6: Final answer
    x = 662.37

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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.