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Finding the Fourth Proportional to 1,088.66, 1,638.80 and 937.95

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Solution

The fourth proportional to 1,088.66, 1,638.80 and 937.95 is: 1,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.66 : 1,638.80 = 937.95 : x
  2. Step 2: Convert to fraction form
    1,088.66/1,638.80 = 937.95/x
  3. Step 3: Cross multiply
    1,088.66x = 1,638.80 × 937.95
  4. Step 4: Simplify right side
    1,088.66x = 1,537,105.14
  5. Step 5: Solve for x
    x = 1,537,105.14/1,088.66
  6. Step 6: Final answer
    x = 1,411.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.