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Finding the Fourth Proportional to 1,412.79, 2,119.19 and 591.07

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Solution

The fourth proportional to 1,412.79, 2,119.19 and 591.07 is: 886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.79 : 2,119.19 = 591.07 : x
  2. Step 2: Convert to fraction form
    1,412.79/2,119.19 = 591.07/x
  3. Step 3: Cross multiply
    1,412.79x = 2,119.19 × 591.07
  4. Step 4: Simplify right side
    1,412.79x = 1,252,582.64
  5. Step 5: Solve for x
    x = 1,252,582.64/1,412.79
  6. Step 6: Final answer
    x = 886.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.