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Finding the Fourth Proportional to 922.05, 1,382.13 and 592.85

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Solution

The fourth proportional to 922.05, 1,382.13 and 592.85 is: 888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.05 : 1,382.13 = 592.85 : x
  2. Step 2: Convert to fraction form
    922.05/1,382.13 = 592.85/x
  3. Step 3: Cross multiply
    922.05x = 1,382.13 × 592.85
  4. Step 4: Simplify right side
    922.05x = 819,399.23
  5. Step 5: Solve for x
    x = 819,399.23/922.05
  6. Step 6: Final answer
    x = 888.67

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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.