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Finding the Fourth Proportional to 1,393.15, 2,088.63 and 663.61

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Solution

The fourth proportional to 1,393.15, 2,088.63 and 663.61 is: 994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.15 : 2,088.63 = 663.61 : x
  2. Step 2: Convert to fraction form
    1,393.15/2,088.63 = 663.61/x
  3. Step 3: Cross multiply
    1,393.15x = 2,088.63 × 663.61
  4. Step 4: Simplify right side
    1,393.15x = 1,386,035.75
  5. Step 5: Solve for x
    x = 1,386,035.75/1,393.15
  6. Step 6: Final answer
    x = 994.89

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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.