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Finding the Fourth Proportional to 837.42, 1,257.06 and 491.16

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Solution

The fourth proportional to 837.42, 1,257.06 and 491.16 is: 737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.42 : 1,257.06 = 491.16 : x
  2. Step 2: Convert to fraction form
    837.42/1,257.06 = 491.16/x
  3. Step 3: Cross multiply
    837.42x = 1,257.06 × 491.16
  4. Step 4: Simplify right side
    837.42x = 617,417.59
  5. Step 5: Solve for x
    x = 617,417.59/837.42
  6. Step 6: Final answer
    x = 737.29

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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.