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Finding the Fourth Proportional to 785.34, 1,083.78 and 474.84

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Solution

The fourth proportional to 785.34, 1,083.78 and 474.84 is: 655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,083.78 = 474.84 : x
  2. Step 2: Convert to fraction form
    785.34/1,083.78 = 474.84/x
  3. Step 3: Cross multiply
    785.34x = 1,083.78 × 474.84
  4. Step 4: Simplify right side
    785.34x = 514,622.10
  5. Step 5: Solve for x
    x = 514,622.10/785.34
  6. Step 6: Final answer
    x = 655.29

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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.