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Finding the Fourth Proportional to 837.44, 1,248.72 and 775.93

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Solution

The fourth proportional to 837.44, 1,248.72 and 775.93 is: 1,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,248.72 = 775.93 : x
  2. Step 2: Convert to fraction form
    837.44/1,248.72 = 775.93/x
  3. Step 3: Cross multiply
    837.44x = 1,248.72 × 775.93
  4. Step 4: Simplify right side
    837.44x = 968,915.62
  5. Step 5: Solve for x
    x = 968,915.62/837.44
  6. Step 6: Final answer
    x = 1,157.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.