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Finding the Fourth Proportional to 677.73, 1,015.77 and 433.53

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Solution

The fourth proportional to 677.73, 1,015.77 and 433.53 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.73 : 1,015.77 = 433.53 : x
  2. Step 2: Convert to fraction form
    677.73/1,015.77 = 433.53/x
  3. Step 3: Cross multiply
    677.73x = 1,015.77 × 433.53
  4. Step 4: Simplify right side
    677.73x = 440,366.77
  5. Step 5: Solve for x
    x = 440,366.77/677.73
  6. Step 6: Final answer
    x = 649.77

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1.5x scale

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.