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Finding the Fourth Proportional to 592.61, 889.22 and 420.38

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Solution

The fourth proportional to 592.61, 889.22 and 420.38 is: 630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.61 : 889.22 = 420.38 : x
  2. Step 2: Convert to fraction form
    592.61/889.22 = 420.38/x
  3. Step 3: Cross multiply
    592.61x = 889.22 × 420.38
  4. Step 4: Simplify right side
    592.61x = 373,810.30
  5. Step 5: Solve for x
    x = 373,810.30/592.61
  6. Step 6: Final answer
    x = 630.79

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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.