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Finding the Fourth Proportional to 962.55, 1,327.79 and 584.19

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Solution

The fourth proportional to 962.55, 1,327.79 and 584.19 is: 805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.55 : 1,327.79 = 584.19 : x
  2. Step 2: Convert to fraction form
    962.55/1,327.79 = 584.19/x
  3. Step 3: Cross multiply
    962.55x = 1,327.79 × 584.19
  4. Step 4: Simplify right side
    962.55x = 775,683.10
  5. Step 5: Solve for x
    x = 775,683.10/962.55
  6. Step 6: Final answer
    x = 805.86

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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.