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Finding the Fourth Proportional to 583.62, 875.65 and 258.99

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Solution

The fourth proportional to 583.62, 875.65 and 258.99 is: 388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.62 : 875.65 = 258.99 : x
  2. Step 2: Convert to fraction form
    583.62/875.65 = 258.99/x
  3. Step 3: Cross multiply
    583.62x = 875.65 × 258.99
  4. Step 4: Simplify right side
    583.62x = 226,784.59
  5. Step 5: Solve for x
    x = 226,784.59/583.62
  6. Step 6: Final answer
    x = 388.58

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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.