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Finding the Fourth Proportional to 1,088.66, 1,631.81 and 539.66

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Solution

The fourth proportional to 1,088.66, 1,631.81 and 539.66 is: 808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.66 : 1,631.81 = 539.66 : x
  2. Step 2: Convert to fraction form
    1,088.66/1,631.81 = 539.66/x
  3. Step 3: Cross multiply
    1,088.66x = 1,631.81 × 539.66
  4. Step 4: Simplify right side
    1,088.66x = 880,622.58
  5. Step 5: Solve for x
    x = 880,622.58/1,088.66
  6. Step 6: Final answer
    x = 808.91

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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.