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Finding the Fourth Proportional to 631.19, 946.47 and 399.90

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Solution

The fourth proportional to 631.19, 946.47 and 399.90 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.19 : 946.47 = 399.90 : x
  2. Step 2: Convert to fraction form
    631.19/946.47 = 399.90/x
  3. Step 3: Cross multiply
    631.19x = 946.47 × 399.90
  4. Step 4: Simplify right side
    631.19x = 378,496.71
  5. Step 5: Solve for x
    x = 378,496.71/631.19
  6. Step 6: Final answer
    x = 599.66

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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.