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Finding the Fourth Proportional to 1,133.62, 1,701.21 and 556.18

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Solution

The fourth proportional to 1,133.62, 1,701.21 and 556.18 is: 834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.62 : 1,701.21 = 556.18 : x
  2. Step 2: Convert to fraction form
    1,133.62/1,701.21 = 556.18/x
  3. Step 3: Cross multiply
    1,133.62x = 1,701.21 × 556.18
  4. Step 4: Simplify right side
    1,133.62x = 946,178.98
  5. Step 5: Solve for x
    x = 946,178.98/1,133.62
  6. Step 6: Final answer
    x = 834.65

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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.