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Finding the Fourth Proportional to 801.42, 1,199.40 and 589.15

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Solution

The fourth proportional to 801.42, 1,199.40 and 589.15 is: 881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.42 : 1,199.40 = 589.15 : x
  2. Step 2: Convert to fraction form
    801.42/1,199.40 = 589.15/x
  3. Step 3: Cross multiply
    801.42x = 1,199.40 × 589.15
  4. Step 4: Simplify right side
    801.42x = 706,626.51
  5. Step 5: Solve for x
    x = 706,626.51/801.42
  6. Step 6: Final answer
    x = 881.72

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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.