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Finding the Fourth Proportional to 678.32, 1,016.64 and 534.32

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Solution

The fourth proportional to 678.32, 1,016.64 and 534.32 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.32 : 1,016.64 = 534.32 : x
  2. Step 2: Convert to fraction form
    678.32/1,016.64 = 534.32/x
  3. Step 3: Cross multiply
    678.32x = 1,016.64 × 534.32
  4. Step 4: Simplify right side
    678.32x = 543,211.08
  5. Step 5: Solve for x
    x = 543,211.08/678.32
  6. Step 6: Final answer
    x = 800.82

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Why These Related Problems?

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