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Finding the Fourth Proportional to 866.49, 1,296.54 and 544.47

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Solution

The fourth proportional to 866.49, 1,296.54 and 544.47 is: 814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.49 : 1,296.54 = 544.47 : x
  2. Step 2: Convert to fraction form
    866.49/1,296.54 = 544.47/x
  3. Step 3: Cross multiply
    866.49x = 1,296.54 × 544.47
  4. Step 4: Simplify right side
    866.49x = 705,927.13
  5. Step 5: Solve for x
    x = 705,927.13/866.49
  6. Step 6: Final answer
    x = 814.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.