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Finding the Fourth Proportional to 707.11, 1,060.45 and 433.33

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Solution

The fourth proportional to 707.11, 1,060.45 and 433.33 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.11 : 1,060.45 = 433.33 : x
  2. Step 2: Convert to fraction form
    707.11/1,060.45 = 433.33/x
  3. Step 3: Cross multiply
    707.11x = 1,060.45 × 433.33
  4. Step 4: Simplify right side
    707.11x = 459,524.80
  5. Step 5: Solve for x
    x = 459,524.80/707.11
  6. Step 6: Final answer
    x = 649.86

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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.