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Finding the Fourth Proportional to 631.48, 946.62 and 338.77

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Solution

The fourth proportional to 631.48, 946.62 and 338.77 is: 507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.48 : 946.62 = 338.77 : x
  2. Step 2: Convert to fraction form
    631.48/946.62 = 338.77/x
  3. Step 3: Cross multiply
    631.48x = 946.62 × 338.77
  4. Step 4: Simplify right side
    631.48x = 320,686.46
  5. Step 5: Solve for x
    x = 320,686.46/631.48
  6. Step 6: Final answer
    x = 507.83

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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.