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Finding the Fourth Proportional to 938.45, 1,407.85 and 470.17

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Solution

The fourth proportional to 938.45, 1,407.85 and 470.17 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.45 : 1,407.85 = 470.17 : x
  2. Step 2: Convert to fraction form
    938.45/1,407.85 = 470.17/x
  3. Step 3: Cross multiply
    938.45x = 1,407.85 × 470.17
  4. Step 4: Simplify right side
    938.45x = 661,928.83
  5. Step 5: Solve for x
    x = 661,928.83/938.45
  6. Step 6: Final answer
    x = 705.34

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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.