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Finding the Fourth Proportional to 939.08, 1,408.80 and 476.88

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Solution

The fourth proportional to 939.08, 1,408.80 and 476.88 is: 715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.08 : 1,408.80 = 476.88 : x
  2. Step 2: Convert to fraction form
    939.08/1,408.80 = 476.88/x
  3. Step 3: Cross multiply
    939.08x = 1,408.80 × 476.88
  4. Step 4: Simplify right side
    939.08x = 671,828.54
  5. Step 5: Solve for x
    x = 671,828.54/939.08
  6. Step 6: Final answer
    x = 715.41

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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.