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Finding the Fourth Proportional to 1,437.71, 1,984.17 and 808.39

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Solution

The fourth proportional to 1,437.71, 1,984.17 and 808.39 is: 1,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.71 : 1,984.17 = 808.39 : x
  2. Step 2: Convert to fraction form
    1,437.71/1,984.17 = 808.39/x
  3. Step 3: Cross multiply
    1,437.71x = 1,984.17 × 808.39
  4. Step 4: Simplify right side
    1,437.71x = 1,603,989.21
  5. Step 5: Solve for x
    x = 1,603,989.21/1,437.71
  6. Step 6: Final answer
    x = 1,115.65

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1.5x scale

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.