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Finding the Fourth Proportional to 729.88, 1,007.40 and 583.68

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Solution

The fourth proportional to 729.88, 1,007.40 and 583.68 is: 805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.88 : 1,007.40 = 583.68 : x
  2. Step 2: Convert to fraction form
    729.88/1,007.40 = 583.68/x
  3. Step 3: Cross multiply
    729.88x = 1,007.40 × 583.68
  4. Step 4: Simplify right side
    729.88x = 587,999.23
  5. Step 5: Solve for x
    x = 587,999.23/729.88
  6. Step 6: Final answer
    x = 805.61

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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.