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Finding the Fourth Proportional to 999.70, 1,499.78 and 315.70

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Solution

The fourth proportional to 999.70, 1,499.78 and 315.70 is: 473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.70 : 1,499.78 = 315.70 : x
  2. Step 2: Convert to fraction form
    999.70/1,499.78 = 315.70/x
  3. Step 3: Cross multiply
    999.70x = 1,499.78 × 315.70
  4. Step 4: Simplify right side
    999.70x = 473,480.55
  5. Step 5: Solve for x
    x = 473,480.55/999.70
  6. Step 6: Final answer
    x = 473.62

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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.