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Finding the Fourth Proportional to 1,093.40, 1,507.34 and 778.53

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Solution

The fourth proportional to 1,093.40, 1,507.34 and 778.53 is: 1,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.40 : 1,507.34 = 778.53 : x
  2. Step 2: Convert to fraction form
    1,093.40/1,507.34 = 778.53/x
  3. Step 3: Cross multiply
    1,093.40x = 1,507.34 × 778.53
  4. Step 4: Simplify right side
    1,093.40x = 1,173,505.52
  5. Step 5: Solve for x
    x = 1,173,505.52/1,093.40
  6. Step 6: Final answer
    x = 1,073.27

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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.