Home / 678.02-935.19-416.18

Finding the Fourth Proportional to 678.02, 935.19 and 416.18

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Solution

The fourth proportional to 678.02, 935.19 and 416.18 is: 574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.02 : 935.19 = 416.18 : x
  2. Step 2: Convert to fraction form
    678.02/935.19 = 416.18/x
  3. Step 3: Cross multiply
    678.02x = 935.19 × 416.18
  4. Step 4: Simplify right side
    678.02x = 389,207.37
  5. Step 5: Solve for x
    x = 389,207.37/678.02
  6. Step 6: Final answer
    x = 574.04

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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.