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Finding the Fourth Proportional to 583.30, 873.47 and 377.59

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Solution

The fourth proportional to 583.30, 873.47 and 377.59 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.30 : 873.47 = 377.59 : x
  2. Step 2: Convert to fraction form
    583.30/873.47 = 377.59/x
  3. Step 3: Cross multiply
    583.30x = 873.47 × 377.59
  4. Step 4: Simplify right side
    583.30x = 329,813.54
  5. Step 5: Solve for x
    x = 329,813.54/583.30
  6. Step 6: Final answer
    x = 565.43

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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.