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Finding the Fourth Proportional to 678.87, 1,017.51 and 312.88

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Solution

The fourth proportional to 678.87, 1,017.51 and 312.88 is: 468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.87 : 1,017.51 = 312.88 : x
  2. Step 2: Convert to fraction form
    678.87/1,017.51 = 312.88/x
  3. Step 3: Cross multiply
    678.87x = 1,017.51 × 312.88
  4. Step 4: Simplify right side
    678.87x = 318,358.53
  5. Step 5: Solve for x
    x = 318,358.53/678.87
  6. Step 6: Final answer
    x = 468.95

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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.