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Finding the Fourth Proportional to 678.11, 935.42 and 512.01

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Solution

The fourth proportional to 678.11, 935.42 and 512.01 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.11 : 935.42 = 512.01 : x
  2. Step 2: Convert to fraction form
    678.11/935.42 = 512.01/x
  3. Step 3: Cross multiply
    678.11x = 935.42 × 512.01
  4. Step 4: Simplify right side
    678.11x = 478,941.83
  5. Step 5: Solve for x
    x = 478,941.83/678.11
  6. Step 6: Final answer
    x = 706.29

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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.