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Finding the Fourth Proportional to 785.36, 1,083.84 and 470.72

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Solution

The fourth proportional to 785.36, 1,083.84 and 470.72 is: 649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.36 : 1,083.84 = 470.72 : x
  2. Step 2: Convert to fraction form
    785.36/1,083.84 = 470.72/x
  3. Step 3: Cross multiply
    785.36x = 1,083.84 × 470.72
  4. Step 4: Simplify right side
    785.36x = 510,185.16
  5. Step 5: Solve for x
    x = 510,185.16/785.36
  6. Step 6: Final answer
    x = 649.62

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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.