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Finding the Fourth Proportional to 583.41, 803.79 and 536.91

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Solution

The fourth proportional to 583.41, 803.79 and 536.91 is: 739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 803.79 = 536.91 : x
  2. Step 2: Convert to fraction form
    583.41/803.79 = 536.91/x
  3. Step 3: Cross multiply
    583.41x = 803.79 × 536.91
  4. Step 4: Simplify right side
    583.41x = 431,562.89
  5. Step 5: Solve for x
    x = 431,562.89/583.41
  6. Step 6: Final answer
    x = 739.72

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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.