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Finding the Fourth Proportional to 583.47, 875.12 and 258.78

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Solution

The fourth proportional to 583.47, 875.12 and 258.78 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.47 : 875.12 = 258.78 : x
  2. Step 2: Convert to fraction form
    583.47/875.12 = 258.78/x
  3. Step 3: Cross multiply
    583.47x = 875.12 × 258.78
  4. Step 4: Simplify right side
    583.47x = 226,462.26
  5. Step 5: Solve for x
    x = 226,462.26/583.47
  6. Step 6: Final answer
    x = 388.13

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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.