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Finding the Fourth Proportional to 783.46, 1,170.93 and 619.44

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Solution

The fourth proportional to 783.46, 1,170.93 and 619.44 is: 925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.46 : 1,170.93 = 619.44 : x
  2. Step 2: Convert to fraction form
    783.46/1,170.93 = 619.44/x
  3. Step 3: Cross multiply
    783.46x = 1,170.93 × 619.44
  4. Step 4: Simplify right side
    783.46x = 725,313.48
  5. Step 5: Solve for x
    x = 725,313.48/783.46
  6. Step 6: Final answer
    x = 925.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.