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Finding the Fourth Proportional to 808.55, 1,210.80 and 772.10

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Solution

The fourth proportional to 808.55, 1,210.80 and 772.10 is: 1,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.55 : 1,210.80 = 772.10 : x
  2. Step 2: Convert to fraction form
    808.55/1,210.80 = 772.10/x
  3. Step 3: Cross multiply
    808.55x = 1,210.80 × 772.10
  4. Step 4: Simplify right side
    808.55x = 934,858.68
  5. Step 5: Solve for x
    x = 934,858.68/808.55
  6. Step 6: Final answer
    x = 1,156.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.