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Finding the Fourth Proportional to 922.83, 1,273.12 and 573.32

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Solution

The fourth proportional to 922.83, 1,273.12 and 573.32 is: 790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.83 : 1,273.12 = 573.32 : x
  2. Step 2: Convert to fraction form
    922.83/1,273.12 = 573.32/x
  3. Step 3: Cross multiply
    922.83x = 1,273.12 × 573.32
  4. Step 4: Simplify right side
    922.83x = 729,895.93
  5. Step 5: Solve for x
    x = 729,895.93/922.83
  6. Step 6: Final answer
    x = 790.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.