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Finding the Fourth Proportional to 949.41, 1,422.95 and 538.89

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Solution

The fourth proportional to 949.41, 1,422.95 and 538.89 is: 807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.41 : 1,422.95 = 538.89 : x
  2. Step 2: Convert to fraction form
    949.41/1,422.95 = 538.89/x
  3. Step 3: Cross multiply
    949.41x = 1,422.95 × 538.89
  4. Step 4: Simplify right side
    949.41x = 766,813.53
  5. Step 5: Solve for x
    x = 766,813.53/949.41
  6. Step 6: Final answer
    x = 807.67

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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.