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Finding the Fourth Proportional to 927.93, 1,392.74 and 581.88

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Solution

The fourth proportional to 927.93, 1,392.74 and 581.88 is: 873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.93 : 1,392.74 = 581.88 : x
  2. Step 2: Convert to fraction form
    927.93/1,392.74 = 581.88/x
  3. Step 3: Cross multiply
    927.93x = 1,392.74 × 581.88
  4. Step 4: Simplify right side
    927.93x = 810,407.55
  5. Step 5: Solve for x
    x = 810,407.55/927.93
  6. Step 6: Final answer
    x = 873.35

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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.