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Finding the Fourth Proportional to 1,437.78, 1,984.03 and 808.11

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Solution

The fourth proportional to 1,437.78, 1,984.03 and 808.11 is: 1,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.78 : 1,984.03 = 808.11 : x
  2. Step 2: Convert to fraction form
    1,437.78/1,984.03 = 808.11/x
  3. Step 3: Cross multiply
    1,437.78x = 1,984.03 × 808.11
  4. Step 4: Simplify right side
    1,437.78x = 1,603,312.46
  5. Step 5: Solve for x
    x = 1,603,312.46/1,437.78
  6. Step 6: Final answer
    x = 1,115.13

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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.