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Finding the Fourth Proportional to 1,106.37, 1,666.14 and 963.81

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Solution

The fourth proportional to 1,106.37, 1,666.14 and 963.81 is: 1,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.37 : 1,666.14 = 963.81 : x
  2. Step 2: Convert to fraction form
    1,106.37/1,666.14 = 963.81/x
  3. Step 3: Cross multiply
    1,106.37x = 1,666.14 × 963.81
  4. Step 4: Simplify right side
    1,106.37x = 1,605,842.39
  5. Step 5: Solve for x
    x = 1,605,842.39/1,106.37
  6. Step 6: Final answer
    x = 1,451.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.