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Finding the Fourth Proportional to 858.56, 1,280.52 and 785.68

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Solution

The fourth proportional to 858.56, 1,280.52 and 785.68 is: 1,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.56 : 1,280.52 = 785.68 : x
  2. Step 2: Convert to fraction form
    858.56/1,280.52 = 785.68/x
  3. Step 3: Cross multiply
    858.56x = 1,280.52 × 785.68
  4. Step 4: Simplify right side
    858.56x = 1,006,078.95
  5. Step 5: Solve for x
    x = 1,006,078.95/858.56
  6. Step 6: Final answer
    x = 1,171.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.