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Finding the Fourth Proportional to 678.34, 935.98 and 383.55

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Solution

The fourth proportional to 678.34, 935.98 and 383.55 is: 529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.34 : 935.98 = 383.55 : x
  2. Step 2: Convert to fraction form
    678.34/935.98 = 383.55/x
  3. Step 3: Cross multiply
    678.34x = 935.98 × 383.55
  4. Step 4: Simplify right side
    678.34x = 358,995.13
  5. Step 5: Solve for x
    x = 358,995.13/678.34
  6. Step 6: Final answer
    x = 529.23

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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.