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Finding the Fourth Proportional to 926.67, 1,390.22 and 406.65

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Solution

The fourth proportional to 926.67, 1,390.22 and 406.65 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.67 : 1,390.22 = 406.65 : x
  2. Step 2: Convert to fraction form
    926.67/1,390.22 = 406.65/x
  3. Step 3: Cross multiply
    926.67x = 1,390.22 × 406.65
  4. Step 4: Simplify right side
    926.67x = 565,332.96
  5. Step 5: Solve for x
    x = 565,332.96/926.67
  6. Step 6: Final answer
    x = 610.07

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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.