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Finding the Fourth Proportional to 856.35, 1,273.53 and 829.02

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Solution

The fourth proportional to 856.35, 1,273.53 and 829.02 is: 1,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.35 : 1,273.53 = 829.02 : x
  2. Step 2: Convert to fraction form
    856.35/1,273.53 = 829.02/x
  3. Step 3: Cross multiply
    856.35x = 1,273.53 × 829.02
  4. Step 4: Simplify right side
    856.35x = 1,055,781.84
  5. Step 5: Solve for x
    x = 1,055,781.84/856.35
  6. Step 6: Final answer
    x = 1,232.89

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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.