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Finding the Fourth Proportional to 985.74, 1,477.26 and 769.38

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Solution

The fourth proportional to 985.74, 1,477.26 and 769.38 is: 1,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.74 : 1,477.26 = 769.38 : x
  2. Step 2: Convert to fraction form
    985.74/1,477.26 = 769.38/x
  3. Step 3: Cross multiply
    985.74x = 1,477.26 × 769.38
  4. Step 4: Simplify right side
    985.74x = 1,136,574.30
  5. Step 5: Solve for x
    x = 1,136,574.30/985.74
  6. Step 6: Final answer
    x = 1,153.02

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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.