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Finding the Fourth Proportional to 783.68, 1,174.91 and 620.87

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Solution

The fourth proportional to 783.68, 1,174.91 and 620.87 is: 930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.68 : 1,174.91 = 620.87 : x
  2. Step 2: Convert to fraction form
    783.68/1,174.91 = 620.87/x
  3. Step 3: Cross multiply
    783.68x = 1,174.91 × 620.87
  4. Step 4: Simplify right side
    783.68x = 729,457.39
  5. Step 5: Solve for x
    x = 729,457.39/783.68
  6. Step 6: Final answer
    x = 930.82

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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.