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Finding the Fourth Proportional to 630.56, 946 and 401.08

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Solution

The fourth proportional to 630.56, 946 and 401.08 is: 601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.56 : 946 = 401.08 : x
  2. Step 2: Convert to fraction form
    630.56/946 = 401.08/x
  3. Step 3: Cross multiply
    630.56x = 946 × 401.08
  4. Step 4: Simplify right side
    630.56x = 379,421.68
  5. Step 5: Solve for x
    x = 379,421.68/630.56
  6. Step 6: Final answer
    x = 601.72

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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.