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Finding the Fourth Proportional to 583.07, 803.70 and 442.73

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Solution

The fourth proportional to 583.07, 803.70 and 442.73 is: 610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 803.70 = 442.73 : x
  2. Step 2: Convert to fraction form
    583.07/803.70 = 442.73/x
  3. Step 3: Cross multiply
    583.07x = 803.70 × 442.73
  4. Step 4: Simplify right side
    583.07x = 355,822.10
  5. Step 5: Solve for x
    x = 355,822.10/583.07
  6. Step 6: Final answer
    x = 610.26

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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.