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Finding the Fourth Proportional to 922.85, 1,273.40 and 591.72

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Solution

The fourth proportional to 922.85, 1,273.40 and 591.72 is: 816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.85 : 1,273.40 = 591.72 : x
  2. Step 2: Convert to fraction form
    922.85/1,273.40 = 591.72/x
  3. Step 3: Cross multiply
    922.85x = 1,273.40 × 591.72
  4. Step 4: Simplify right side
    922.85x = 753,501.22
  5. Step 5: Solve for x
    x = 753,501.22/922.85
  6. Step 6: Final answer
    x = 816.50

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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.