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Finding the Fourth Proportional to 927.51, 1,391.63 and 407.23

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Solution

The fourth proportional to 927.51, 1,391.63 and 407.23 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.51 : 1,391.63 = 407.23 : x
  2. Step 2: Convert to fraction form
    927.51/1,391.63 = 407.23/x
  3. Step 3: Cross multiply
    927.51x = 1,391.63 × 407.23
  4. Step 4: Simplify right side
    927.51x = 566,713.48
  5. Step 5: Solve for x
    x = 566,713.48/927.51
  6. Step 6: Final answer
    x = 611.01

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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.