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Finding the Fourth Proportional to 1,027.95, 1,535.67 and 823.02

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Solution

The fourth proportional to 1,027.95, 1,535.67 and 823.02 is: 1,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.95 : 1,535.67 = 823.02 : x
  2. Step 2: Convert to fraction form
    1,027.95/1,535.67 = 823.02/x
  3. Step 3: Cross multiply
    1,027.95x = 1,535.67 × 823.02
  4. Step 4: Simplify right side
    1,027.95x = 1,263,887.12
  5. Step 5: Solve for x
    x = 1,263,887.12/1,027.95
  6. Step 6: Final answer
    x = 1,229.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.