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Finding the Fourth Proportional to 631.20, 946.12 and 284.72

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Solution

The fourth proportional to 631.20, 946.12 and 284.72 is: 426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.20 : 946.12 = 284.72 : x
  2. Step 2: Convert to fraction form
    631.20/946.12 = 284.72/x
  3. Step 3: Cross multiply
    631.20x = 946.12 × 284.72
  4. Step 4: Simplify right side
    631.20x = 269,379.29
  5. Step 5: Solve for x
    x = 269,379.29/631.20
  6. Step 6: Final answer
    x = 426.77

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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.