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Finding the Fourth Proportional to 869.57, 1,297.55 and 777.50

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Solution

The fourth proportional to 869.57, 1,297.55 and 777.50 is: 1,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.57 : 1,297.55 = 777.50 : x
  2. Step 2: Convert to fraction form
    869.57/1,297.55 = 777.50/x
  3. Step 3: Cross multiply
    869.57x = 1,297.55 × 777.50
  4. Step 4: Simplify right side
    869.57x = 1,008,845.13
  5. Step 5: Solve for x
    x = 1,008,845.13/869.57
  6. Step 6: Final answer
    x = 1,160.17

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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.