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Finding the Fourth Proportional to 678.77, 1,018.38 and 268.02

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Solution

The fourth proportional to 678.77, 1,018.38 and 268.02 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.77 : 1,018.38 = 268.02 : x
  2. Step 2: Convert to fraction form
    678.77/1,018.38 = 268.02/x
  3. Step 3: Cross multiply
    678.77x = 1,018.38 × 268.02
  4. Step 4: Simplify right side
    678.77x = 272,946.21
  5. Step 5: Solve for x
    x = 272,946.21/678.77
  6. Step 6: Final answer
    x = 402.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.