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Finding the Fourth Proportional to 1,088.12, 1,501.83 and 668.69

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Solution

The fourth proportional to 1,088.12, 1,501.83 and 668.69 is: 922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.12 : 1,501.83 = 668.69 : x
  2. Step 2: Convert to fraction form
    1,088.12/1,501.83 = 668.69/x
  3. Step 3: Cross multiply
    1,088.12x = 1,501.83 × 668.69
  4. Step 4: Simplify right side
    1,088.12x = 1,004,251.19
  5. Step 5: Solve for x
    x = 1,004,251.19/1,088.12
  6. Step 6: Final answer
    x = 922.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.