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Finding the Fourth Proportional to 848.91, 1,270.53 and 747.42

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Solution

The fourth proportional to 848.91, 1,270.53 and 747.42 is: 1,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.91 : 1,270.53 = 747.42 : x
  2. Step 2: Convert to fraction form
    848.91/1,270.53 = 747.42/x
  3. Step 3: Cross multiply
    848.91x = 1,270.53 × 747.42
  4. Step 4: Simplify right side
    848.91x = 949,619.53
  5. Step 5: Solve for x
    x = 949,619.53/848.91
  6. Step 6: Final answer
    x = 1,118.63

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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.