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Finding the Fourth Proportional to 678.98, 1,014.59 and 511.11

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Solution

The fourth proportional to 678.98, 1,014.59 and 511.11 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 1,014.59 = 511.11 : x
  2. Step 2: Convert to fraction form
    678.98/1,014.59 = 511.11/x
  3. Step 3: Cross multiply
    678.98x = 1,014.59 × 511.11
  4. Step 4: Simplify right side
    678.98x = 518,568.37
  5. Step 5: Solve for x
    x = 518,568.37/678.98
  6. Step 6: Final answer
    x = 763.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.