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Finding the Fourth Proportional to 997.46, 1,496.19 and 348.20

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Solution

The fourth proportional to 997.46, 1,496.19 and 348.20 is: 522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.46 : 1,496.19 = 348.20 : x
  2. Step 2: Convert to fraction form
    997.46/1,496.19 = 348.20/x
  3. Step 3: Cross multiply
    997.46x = 1,496.19 × 348.20
  4. Step 4: Simplify right side
    997.46x = 520,973.36
  5. Step 5: Solve for x
    x = 520,973.36/997.46
  6. Step 6: Final answer
    x = 522.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.