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Finding the Fourth Proportional to 1,088.91, 1,630.47 and 742.93

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Solution

The fourth proportional to 1,088.91, 1,630.47 and 742.93 is: 1,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.91 : 1,630.47 = 742.93 : x
  2. Step 2: Convert to fraction form
    1,088.91/1,630.47 = 742.93/x
  3. Step 3: Cross multiply
    1,088.91x = 1,630.47 × 742.93
  4. Step 4: Simplify right side
    1,088.91x = 1,211,325.08
  5. Step 5: Solve for x
    x = 1,211,325.08/1,088.91
  6. Step 6: Final answer
    x = 1,112.42

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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.