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Finding the Fourth Proportional to 592.90, 889.88 and 319.21

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Solution

The fourth proportional to 592.90, 889.88 and 319.21 is: 479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.90 : 889.88 = 319.21 : x
  2. Step 2: Convert to fraction form
    592.90/889.88 = 319.21/x
  3. Step 3: Cross multiply
    592.90x = 889.88 × 319.21
  4. Step 4: Simplify right side
    592.90x = 284,054.77
  5. Step 5: Solve for x
    x = 284,054.77/592.90
  6. Step 6: Final answer
    x = 479.10

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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.