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Finding the Fourth Proportional to 678.98, 935.64 and 492.11

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Solution

The fourth proportional to 678.98, 935.64 and 492.11 is: 678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 935.64 = 492.11 : x
  2. Step 2: Convert to fraction form
    678.98/935.64 = 492.11/x
  3. Step 3: Cross multiply
    678.98x = 935.64 × 492.11
  4. Step 4: Simplify right side
    678.98x = 460,433.12
  5. Step 5: Solve for x
    x = 460,433.12/678.98
  6. Step 6: Final answer
    x = 678.13

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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.