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Finding the Fourth Proportional to 927.78, 1,389.64 and 407.08

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Solution

The fourth proportional to 927.78, 1,389.64 and 407.08 is: 609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.78 : 1,389.64 = 407.08 : x
  2. Step 2: Convert to fraction form
    927.78/1,389.64 = 407.08/x
  3. Step 3: Cross multiply
    927.78x = 1,389.64 × 407.08
  4. Step 4: Simplify right side
    927.78x = 565,694.65
  5. Step 5: Solve for x
    x = 565,694.65/927.78
  6. Step 6: Final answer
    x = 609.73

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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.