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Finding the Fourth Proportional to 772.96, 1,156.68 and 619.86

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Solution

The fourth proportional to 772.96, 1,156.68 and 619.86 is: 927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.96 : 1,156.68 = 619.86 : x
  2. Step 2: Convert to fraction form
    772.96/1,156.68 = 619.86/x
  3. Step 3: Cross multiply
    772.96x = 1,156.68 × 619.86
  4. Step 4: Simplify right side
    772.96x = 716,979.66
  5. Step 5: Solve for x
    x = 716,979.66/772.96
  6. Step 6: Final answer
    x = 927.58

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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.