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Finding the Fourth Proportional to 592.37, 821.69 and 561.23

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Solution

The fourth proportional to 592.37, 821.69 and 561.23 is: 778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.37 : 821.69 = 561.23 : x
  2. Step 2: Convert to fraction form
    592.37/821.69 = 561.23/x
  3. Step 3: Cross multiply
    592.37x = 821.69 × 561.23
  4. Step 4: Simplify right side
    592.37x = 461,157.08
  5. Step 5: Solve for x
    x = 461,157.08/592.37
  6. Step 6: Final answer
    x = 778.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.