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Finding the Fourth Proportional to 939.32, 1,407.98 and 362.04

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Solution

The fourth proportional to 939.32, 1,407.98 and 362.04 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.32 : 1,407.98 = 362.04 : x
  2. Step 2: Convert to fraction form
    939.32/1,407.98 = 362.04/x
  3. Step 3: Cross multiply
    939.32x = 1,407.98 × 362.04
  4. Step 4: Simplify right side
    939.32x = 509,745.08
  5. Step 5: Solve for x
    x = 509,745.08/939.32
  6. Step 6: Final answer
    x = 542.67

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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.