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Finding the Fourth Proportional to 986.36, 1,470.77 and 943.53

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Solution

The fourth proportional to 986.36, 1,470.77 and 943.53 is: 1,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.36 : 1,470.77 = 943.53 : x
  2. Step 2: Convert to fraction form
    986.36/1,470.77 = 943.53/x
  3. Step 3: Cross multiply
    986.36x = 1,470.77 × 943.53
  4. Step 4: Simplify right side
    986.36x = 1,387,710.90
  5. Step 5: Solve for x
    x = 1,387,710.90/986.36
  6. Step 6: Final answer
    x = 1,406.90

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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.