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Finding the Fourth Proportional to 785.09, 1,083.05 and 470.20

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Solution

The fourth proportional to 785.09, 1,083.05 and 470.20 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.09 : 1,083.05 = 470.20 : x
  2. Step 2: Convert to fraction form
    785.09/1,083.05 = 470.20/x
  3. Step 3: Cross multiply
    785.09x = 1,083.05 × 470.20
  4. Step 4: Simplify right side
    785.09x = 509,253.79
  5. Step 5: Solve for x
    x = 509,253.79/785.09
  6. Step 6: Final answer
    x = 648.66

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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.