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Finding the Fourth Proportional to 837.81, 1,156.23 and 464.87

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Solution

The fourth proportional to 837.81, 1,156.23 and 464.87 is: 641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.81 : 1,156.23 = 464.87 : x
  2. Step 2: Convert to fraction form
    837.81/1,156.23 = 464.87/x
  3. Step 3: Cross multiply
    837.81x = 1,156.23 × 464.87
  4. Step 4: Simplify right side
    837.81x = 537,499.53
  5. Step 5: Solve for x
    x = 537,499.53/837.81
  6. Step 6: Final answer
    x = 641.55

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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.