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Finding the Fourth Proportional to 927.07, 1,390.14 and 406.89

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Solution

The fourth proportional to 927.07, 1,390.14 and 406.89 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.07 : 1,390.14 = 406.89 : x
  2. Step 2: Convert to fraction form
    927.07/1,390.14 = 406.89/x
  3. Step 3: Cross multiply
    927.07x = 1,390.14 × 406.89
  4. Step 4: Simplify right side
    927.07x = 565,634.06
  5. Step 5: Solve for x
    x = 565,634.06/927.07
  6. Step 6: Final answer
    x = 610.13

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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.