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Finding the Fourth Proportional to 776.87, 1,170.66 and 642.93

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Solution

The fourth proportional to 776.87, 1,170.66 and 642.93 is: 968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.87 : 1,170.66 = 642.93 : x
  2. Step 2: Convert to fraction form
    776.87/1,170.66 = 642.93/x
  3. Step 3: Cross multiply
    776.87x = 1,170.66 × 642.93
  4. Step 4: Simplify right side
    776.87x = 752,643.37
  5. Step 5: Solve for x
    x = 752,643.37/776.87
  6. Step 6: Final answer
    x = 968.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.