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Finding the Fourth Proportional to 583.34, 875.21 and 339.80

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Solution

The fourth proportional to 583.34, 875.21 and 339.80 is: 509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 875.21 = 339.80 : x
  2. Step 2: Convert to fraction form
    583.34/875.21 = 339.80/x
  3. Step 3: Cross multiply
    583.34x = 875.21 × 339.80
  4. Step 4: Simplify right side
    583.34x = 297,390.28
  5. Step 5: Solve for x
    x = 297,390.28/583.34
  6. Step 6: Final answer
    x = 509.81

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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.