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Finding the Fourth Proportional to 855.30, 1,176.90 and 772.50

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Solution

The fourth proportional to 855.30, 1,176.90 and 772.50 is: 1,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.30 : 1,176.90 = 772.50 : x
  2. Step 2: Convert to fraction form
    855.30/1,176.90 = 772.50/x
  3. Step 3: Cross multiply
    855.30x = 1,176.90 × 772.50
  4. Step 4: Simplify right side
    855.30x = 909,155.25
  5. Step 5: Solve for x
    x = 909,155.25/855.30
  6. Step 6: Final answer
    x = 1,062.97

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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.