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Finding the Fourth Proportional to 914.78, 1,261.68 and 619.52

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Solution

The fourth proportional to 914.78, 1,261.68 and 619.52 is: 854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.78 : 1,261.68 = 619.52 : x
  2. Step 2: Convert to fraction form
    914.78/1,261.68 = 619.52/x
  3. Step 3: Cross multiply
    914.78x = 1,261.68 × 619.52
  4. Step 4: Simplify right side
    914.78x = 781,635.99
  5. Step 5: Solve for x
    x = 781,635.99/914.78
  6. Step 6: Final answer
    x = 854.45

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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.