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Finding the Fourth Proportional to 782.53, 1,079.93 and 433.22

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Solution

The fourth proportional to 782.53, 1,079.93 and 433.22 is: 597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.53 : 1,079.93 = 433.22 : x
  2. Step 2: Convert to fraction form
    782.53/1,079.93 = 433.22/x
  3. Step 3: Cross multiply
    782.53x = 1,079.93 × 433.22
  4. Step 4: Simplify right side
    782.53x = 467,845.38
  5. Step 5: Solve for x
    x = 467,845.38/782.53
  6. Step 6: Final answer
    x = 597.86

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1.5x scale

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.