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Finding the Fourth Proportional to 837.40, 1,155.57 and 464.35

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Solution

The fourth proportional to 837.40, 1,155.57 and 464.35 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.40 : 1,155.57 = 464.35 : x
  2. Step 2: Convert to fraction form
    837.40/1,155.57 = 464.35/x
  3. Step 3: Cross multiply
    837.40x = 1,155.57 × 464.35
  4. Step 4: Simplify right side
    837.40x = 536,588.93
  5. Step 5: Solve for x
    x = 536,588.93/837.40
  6. Step 6: Final answer
    x = 640.78

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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.