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Finding the Fourth Proportional to 862.44, 1,190.26 and 530.86

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Solution

The fourth proportional to 862.44, 1,190.26 and 530.86 is: 732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.44 : 1,190.26 = 530.86 : x
  2. Step 2: Convert to fraction form
    862.44/1,190.26 = 530.86/x
  3. Step 3: Cross multiply
    862.44x = 1,190.26 × 530.86
  4. Step 4: Simplify right side
    862.44x = 631,856.13
  5. Step 5: Solve for x
    x = 631,856.13/862.44
  6. Step 6: Final answer
    x = 732.64

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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.