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Finding the Fourth Proportional to 678.10, 935.88 and 492.21

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Solution

The fourth proportional to 678.10, 935.88 and 492.21 is: 679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.10 : 935.88 = 492.21 : x
  2. Step 2: Convert to fraction form
    678.10/935.88 = 492.21/x
  3. Step 3: Cross multiply
    678.10x = 935.88 × 492.21
  4. Step 4: Simplify right side
    678.10x = 460,649.49
  5. Step 5: Solve for x
    x = 460,649.49/678.10
  6. Step 6: Final answer
    x = 679.32

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1.5x scale

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.