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Finding the Fourth Proportional to 583.53, 873.42 and 553.47

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Solution

The fourth proportional to 583.53, 873.42 and 553.47 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.53 : 873.42 = 553.47 : x
  2. Step 2: Convert to fraction form
    583.53/873.42 = 553.47/x
  3. Step 3: Cross multiply
    583.53x = 873.42 × 553.47
  4. Step 4: Simplify right side
    583.53x = 483,411.77
  5. Step 5: Solve for x
    x = 483,411.77/583.53
  6. Step 6: Final answer
    x = 828.43

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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.