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Finding the Fourth Proportional to 631.57, 946.80 and 339.23

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Solution

The fourth proportional to 631.57, 946.80 and 339.23 is: 508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.57 : 946.80 = 339.23 : x
  2. Step 2: Convert to fraction form
    631.57/946.80 = 339.23/x
  3. Step 3: Cross multiply
    631.57x = 946.80 × 339.23
  4. Step 4: Simplify right side
    631.57x = 321,181.71
  5. Step 5: Solve for x
    x = 321,181.71/631.57
  6. Step 6: Final answer
    x = 508.54

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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.