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Finding the Fourth Proportional to 583.47, 879.20 and 483.01

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Solution

The fourth proportional to 583.47, 879.20 and 483.01 is: 727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.47 : 879.20 = 483.01 : x
  2. Step 2: Convert to fraction form
    583.47/879.20 = 483.01/x
  3. Step 3: Cross multiply
    583.47x = 879.20 × 483.01
  4. Step 4: Simplify right side
    583.47x = 424,662.39
  5. Step 5: Solve for x
    x = 424,662.39/583.47
  6. Step 6: Final answer
    x = 727.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.