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Finding the Fourth Proportional to 922.77, 1,273.35 and 549.77

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Solution

The fourth proportional to 922.77, 1,273.35 and 549.77 is: 758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.77 : 1,273.35 = 549.77 : x
  2. Step 2: Convert to fraction form
    922.77/1,273.35 = 549.77/x
  3. Step 3: Cross multiply
    922.77x = 1,273.35 × 549.77
  4. Step 4: Simplify right side
    922.77x = 700,052.81
  5. Step 5: Solve for x
    x = 700,052.81/922.77
  6. Step 6: Final answer
    x = 758.64

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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.