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Finding the Fourth Proportional to 583.57, 875.30 and 193.56

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Solution

The fourth proportional to 583.57, 875.30 and 193.56 is: 290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.57 : 875.30 = 193.56 : x
  2. Step 2: Convert to fraction form
    583.57/875.30 = 193.56/x
  3. Step 3: Cross multiply
    583.57x = 875.30 × 193.56
  4. Step 4: Simplify right side
    583.57x = 169,423.07
  5. Step 5: Solve for x
    x = 169,423.07/583.57
  6. Step 6: Final answer
    x = 290.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.