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Finding the Fourth Proportional to 583.31, 875.37 and 400.88

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Solution

The fourth proportional to 583.31, 875.37 and 400.88 is: 601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.31 : 875.37 = 400.88 : x
  2. Step 2: Convert to fraction form
    583.31/875.37 = 400.88/x
  3. Step 3: Cross multiply
    583.31x = 875.37 × 400.88
  4. Step 4: Simplify right side
    583.31x = 350,918.33
  5. Step 5: Solve for x
    x = 350,918.33/583.31
  6. Step 6: Final answer
    x = 601.60

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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.