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Finding the Fourth Proportional to 1,437.67, 1,984.02 and 808.19

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Solution

The fourth proportional to 1,437.67, 1,984.02 and 808.19 is: 1,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.67 : 1,984.02 = 808.19 : x
  2. Step 2: Convert to fraction form
    1,437.67/1,984.02 = 808.19/x
  3. Step 3: Cross multiply
    1,437.67x = 1,984.02 × 808.19
  4. Step 4: Simplify right side
    1,437.67x = 1,603,456.83
  5. Step 5: Solve for x
    x = 1,603,456.83/1,437.67
  6. Step 6: Final answer
    x = 1,115.31

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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.