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Finding the Fourth Proportional to 837.25, 1,155.41 and 469.25

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Solution

The fourth proportional to 837.25, 1,155.41 and 469.25 is: 647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.25 : 1,155.41 = 469.25 : x
  2. Step 2: Convert to fraction form
    837.25/1,155.41 = 469.25/x
  3. Step 3: Cross multiply
    837.25x = 1,155.41 × 469.25
  4. Step 4: Simplify right side
    837.25x = 542,176.14
  5. Step 5: Solve for x
    x = 542,176.14/837.25
  6. Step 6: Final answer
    x = 647.57

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1.5x scale

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.