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Finding the Fourth Proportional to 922.86, 1,273.77 and 569.30

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Solution

The fourth proportional to 922.86, 1,273.77 and 569.30 is: 785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.86 : 1,273.77 = 569.30 : x
  2. Step 2: Convert to fraction form
    922.86/1,273.77 = 569.30/x
  3. Step 3: Cross multiply
    922.86x = 1,273.77 × 569.30
  4. Step 4: Simplify right side
    922.86x = 725,150.89
  5. Step 5: Solve for x
    x = 725,150.89/922.86
  6. Step 6: Final answer
    x = 785.76

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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.