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Finding the Fourth Proportional to 962.21, 1,439.71 and 570.78

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Solution

The fourth proportional to 962.21, 1,439.71 and 570.78 is: 854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.21 : 1,439.71 = 570.78 : x
  2. Step 2: Convert to fraction form
    962.21/1,439.71 = 570.78/x
  3. Step 3: Cross multiply
    962.21x = 1,439.71 × 570.78
  4. Step 4: Simplify right side
    962.21x = 821,756.25
  5. Step 5: Solve for x
    x = 821,756.25/962.21
  6. Step 6: Final answer
    x = 854.03

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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.