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Finding the Fourth Proportional to 770.77, 1,155.77 and 360.10

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Solution

The fourth proportional to 770.77, 1,155.77 and 360.10 is: 539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.77 : 1,155.77 = 360.10 : x
  2. Step 2: Convert to fraction form
    770.77/1,155.77 = 360.10/x
  3. Step 3: Cross multiply
    770.77x = 1,155.77 × 360.10
  4. Step 4: Simplify right side
    770.77x = 416,187.27
  5. Step 5: Solve for x
    x = 416,187.27/770.77
  6. Step 6: Final answer
    x = 539.97

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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.