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Finding the Fourth Proportional to 583.54, 875.43 and 448.30

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Solution

The fourth proportional to 583.54, 875.43 and 448.30 is: 672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.54 : 875.43 = 448.30 : x
  2. Step 2: Convert to fraction form
    583.54/875.43 = 448.30/x
  3. Step 3: Cross multiply
    583.54x = 875.43 × 448.30
  4. Step 4: Simplify right side
    583.54x = 392,455.27
  5. Step 5: Solve for x
    x = 392,455.27/583.54
  6. Step 6: Final answer
    x = 672.54

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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.