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Finding the Fourth Proportional to 985.77, 1,478.05 and 678.00

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Solution

The fourth proportional to 985.77, 1,478.05 and 678.00 is: 1,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.77 : 1,478.05 = 678.00 : x
  2. Step 2: Convert to fraction form
    985.77/1,478.05 = 678.00/x
  3. Step 3: Cross multiply
    985.77x = 1,478.05 × 678.00
  4. Step 4: Simplify right side
    985.77x = 1,002,121.75
  5. Step 5: Solve for x
    x = 1,002,121.75/985.77
  6. Step 6: Final answer
    x = 1,016.59

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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.