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Finding the Fourth Proportional to 927.29, 1,390.23 and 561.98

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Solution

The fourth proportional to 927.29, 1,390.23 and 561.98 is: 842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.29 : 1,390.23 = 561.98 : x
  2. Step 2: Convert to fraction form
    927.29/1,390.23 = 561.98/x
  3. Step 3: Cross multiply
    927.29x = 1,390.23 × 561.98
  4. Step 4: Simplify right side
    927.29x = 781,281.46
  5. Step 5: Solve for x
    x = 781,281.46/927.29
  6. Step 6: Final answer
    x = 842.54

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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.