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Finding the Fourth Proportional to 420.71, 633.40 and 369.68

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Solution

The fourth proportional to 420.71, 633.40 and 369.68 is: 556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.71 : 633.40 = 369.68 : x
  2. Step 2: Convert to fraction form
    420.71/633.40 = 369.68/x
  3. Step 3: Cross multiply
    420.71x = 633.40 × 369.68
  4. Step 4: Simplify right side
    420.71x = 234,151.22
  5. Step 5: Solve for x
    x = 234,151.22/420.71
  6. Step 6: Final answer
    x = 556.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.