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Finding the Fourth Proportional to 985.28, 1,476.54 and 778.94

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Solution

The fourth proportional to 985.28, 1,476.54 and 778.94 is: 1,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.28 : 1,476.54 = 778.94 : x
  2. Step 2: Convert to fraction form
    985.28/1,476.54 = 778.94/x
  3. Step 3: Cross multiply
    985.28x = 1,476.54 × 778.94
  4. Step 4: Simplify right side
    985.28x = 1,150,136.07
  5. Step 5: Solve for x
    x = 1,150,136.07/985.28
  6. Step 6: Final answer
    x = 1,167.32

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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.