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Finding the Fourth Proportional to 777.77, 1,073.40 and 580.94

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Solution

The fourth proportional to 777.77, 1,073.40 and 580.94 is: 801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.77 : 1,073.40 = 580.94 : x
  2. Step 2: Convert to fraction form
    777.77/1,073.40 = 580.94/x
  3. Step 3: Cross multiply
    777.77x = 1,073.40 × 580.94
  4. Step 4: Simplify right side
    777.77x = 623,581.67
  5. Step 5: Solve for x
    x = 623,581.67/777.77
  6. Step 6: Final answer
    x = 801.76

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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.