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Finding the Fourth Proportional to 474, 706.98 and 465.80

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Solution

The fourth proportional to 474, 706.98 and 465.80 is: 694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 706.98 = 465.80 : x
  2. Step 2: Convert to fraction form
    474/706.98 = 465.80/x
  3. Step 3: Cross multiply
    474x = 706.98 × 465.80
  4. Step 4: Simplify right side
    474x = 329,311.28
  5. Step 5: Solve for x
    x = 329,311.28/474
  6. Step 6: Final answer
    x = 694.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.