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Finding the Fourth Proportional to 785.35, 1,083.67 and 470.54

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Solution

The fourth proportional to 785.35, 1,083.67 and 470.54 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.35 : 1,083.67 = 470.54 : x
  2. Step 2: Convert to fraction form
    785.35/1,083.67 = 470.54/x
  3. Step 3: Cross multiply
    785.35x = 1,083.67 × 470.54
  4. Step 4: Simplify right side
    785.35x = 509,905.52
  5. Step 5: Solve for x
    x = 509,905.52/785.35
  6. Step 6: Final answer
    x = 649.28

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1.5x scale

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.