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Finding the Fourth Proportional to 785.19, 1,083.54 and 435.91

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Solution

The fourth proportional to 785.19, 1,083.54 and 435.91 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.19 : 1,083.54 = 435.91 : x
  2. Step 2: Convert to fraction form
    785.19/1,083.54 = 435.91/x
  3. Step 3: Cross multiply
    785.19x = 1,083.54 × 435.91
  4. Step 4: Simplify right side
    785.19x = 472,323.74
  5. Step 5: Solve for x
    x = 472,323.74/785.19
  6. Step 6: Final answer
    x = 601.54

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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.