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Finding the Fourth Proportional to 583.94, 875.61 and 275.70

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Solution

The fourth proportional to 583.94, 875.61 and 275.70 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 875.61 = 275.70 : x
  2. Step 2: Convert to fraction form
    583.94/875.61 = 275.70/x
  3. Step 3: Cross multiply
    583.94x = 875.61 × 275.70
  4. Step 4: Simplify right side
    583.94x = 241,408.96
  5. Step 5: Solve for x
    x = 241,408.96/583.94
  6. Step 6: Final answer
    x = 413.41

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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.