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Finding the Fourth Proportional to 937.95, 1,406.61 and 390.03

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Solution

The fourth proportional to 937.95, 1,406.61 and 390.03 is: 584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.95 : 1,406.61 = 390.03 : x
  2. Step 2: Convert to fraction form
    937.95/1,406.61 = 390.03/x
  3. Step 3: Cross multiply
    937.95x = 1,406.61 × 390.03
  4. Step 4: Simplify right side
    937.95x = 548,620.10
  5. Step 5: Solve for x
    x = 548,620.10/937.95
  6. Step 6: Final answer
    x = 584.91

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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.