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Finding the Fourth Proportional to 685.20, 1,029.34 and 592.98

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Solution

The fourth proportional to 685.20, 1,029.34 and 592.98 is: 890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.20 : 1,029.34 = 592.98 : x
  2. Step 2: Convert to fraction form
    685.20/1,029.34 = 592.98/x
  3. Step 3: Cross multiply
    685.20x = 1,029.34 × 592.98
  4. Step 4: Simplify right side
    685.20x = 610,378.03
  5. Step 5: Solve for x
    x = 610,378.03/685.20
  6. Step 6: Final answer
    x = 890.80

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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.