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Finding the Fourth Proportional to 1,431.19, 1,974.54 and 899.83

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Solution

The fourth proportional to 1,431.19, 1,974.54 and 899.83 is: 1,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.19 : 1,974.54 = 899.83 : x
  2. Step 2: Convert to fraction form
    1,431.19/1,974.54 = 899.83/x
  3. Step 3: Cross multiply
    1,431.19x = 1,974.54 × 899.83
  4. Step 4: Simplify right side
    1,431.19x = 1,776,750.33
  5. Step 5: Solve for x
    x = 1,776,750.33/1,431.19
  6. Step 6: Final answer
    x = 1,241.45

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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.