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Finding the Fourth Proportional to 583.03, 873.51 and 548.34

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Solution

The fourth proportional to 583.03, 873.51 and 548.34 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.03 : 873.51 = 548.34 : x
  2. Step 2: Convert to fraction form
    583.03/873.51 = 548.34/x
  3. Step 3: Cross multiply
    583.03x = 873.51 × 548.34
  4. Step 4: Simplify right side
    583.03x = 478,980.47
  5. Step 5: Solve for x
    x = 478,980.47/583.03
  6. Step 6: Final answer
    x = 821.54

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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.