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Finding the Fourth Proportional to 939.48, 1,408.98 and 646.92

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Solution

The fourth proportional to 939.48, 1,408.98 and 646.92 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.48 : 1,408.98 = 646.92 : x
  2. Step 2: Convert to fraction form
    939.48/1,408.98 = 646.92/x
  3. Step 3: Cross multiply
    939.48x = 1,408.98 × 646.92
  4. Step 4: Simplify right side
    939.48x = 911,497.34
  5. Step 5: Solve for x
    x = 911,497.34/939.48
  6. Step 6: Final answer
    x = 970.21

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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.