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Finding the Fourth Proportional to 865.51, 1,194.45 and 534.10

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Solution

The fourth proportional to 865.51, 1,194.45 and 534.10 is: 737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.51 : 1,194.45 = 534.10 : x
  2. Step 2: Convert to fraction form
    865.51/1,194.45 = 534.10/x
  3. Step 3: Cross multiply
    865.51x = 1,194.45 × 534.10
  4. Step 4: Simplify right side
    865.51x = 637,955.75
  5. Step 5: Solve for x
    x = 637,955.75/865.51
  6. Step 6: Final answer
    x = 737.09

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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.