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Finding the Fourth Proportional to 785.61, 1,083.83 and 474.57

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Solution

The fourth proportional to 785.61, 1,083.83 and 474.57 is: 654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.61 : 1,083.83 = 474.57 : x
  2. Step 2: Convert to fraction form
    785.61/1,083.83 = 474.57/x
  3. Step 3: Cross multiply
    785.61x = 1,083.83 × 474.57
  4. Step 4: Simplify right side
    785.61x = 514,350.83
  5. Step 5: Solve for x
    x = 514,350.83/785.61
  6. Step 6: Final answer
    x = 654.72

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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.