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Finding the Fourth Proportional to 678.17, 934.94 and 567.47

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Solution

The fourth proportional to 678.17, 934.94 and 567.47 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.17 : 934.94 = 567.47 : x
  2. Step 2: Convert to fraction form
    678.17/934.94 = 567.47/x
  3. Step 3: Cross multiply
    678.17x = 934.94 × 567.47
  4. Step 4: Simplify right side
    678.17x = 530,554.16
  5. Step 5: Solve for x
    x = 530,554.16/678.17
  6. Step 6: Final answer
    x = 782.33

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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.