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Finding the Fourth Proportional to 678.83, 935.69 and 531.23

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Solution

The fourth proportional to 678.83, 935.69 and 531.23 is: 732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.83 : 935.69 = 531.23 : x
  2. Step 2: Convert to fraction form
    678.83/935.69 = 531.23/x
  3. Step 3: Cross multiply
    678.83x = 935.69 × 531.23
  4. Step 4: Simplify right side
    678.83x = 497,059.26
  5. Step 5: Solve for x
    x = 497,059.26/678.83
  6. Step 6: Final answer
    x = 732.23

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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.