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Finding the Fourth Proportional to 671.44, 1,004.72 and 525.64

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Solution

The fourth proportional to 671.44, 1,004.72 and 525.64 is: 786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.44 : 1,004.72 = 525.64 : x
  2. Step 2: Convert to fraction form
    671.44/1,004.72 = 525.64/x
  3. Step 3: Cross multiply
    671.44x = 1,004.72 × 525.64
  4. Step 4: Simplify right side
    671.44x = 528,121.02
  5. Step 5: Solve for x
    x = 528,121.02/671.44
  6. Step 6: Final answer
    x = 786.55

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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.