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Finding the Fourth Proportional to 837.31, 1,155.42 and 464.29

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Solution

The fourth proportional to 837.31, 1,155.42 and 464.29 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.31 : 1,155.42 = 464.29 : x
  2. Step 2: Convert to fraction form
    837.31/1,155.42 = 464.29/x
  3. Step 3: Cross multiply
    837.31x = 1,155.42 × 464.29
  4. Step 4: Simplify right side
    837.31x = 536,444.17
  5. Step 5: Solve for x
    x = 536,444.17/837.31
  6. Step 6: Final answer
    x = 640.68

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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.