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Finding the Fourth Proportional to 573.29, 857.98 and 354.05

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Solution

The fourth proportional to 573.29, 857.98 and 354.05 is: 529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.29 : 857.98 = 354.05 : x
  2. Step 2: Convert to fraction form
    573.29/857.98 = 354.05/x
  3. Step 3: Cross multiply
    573.29x = 857.98 × 354.05
  4. Step 4: Simplify right side
    573.29x = 303,762.64
  5. Step 5: Solve for x
    x = 303,762.64/573.29
  6. Step 6: Final answer
    x = 529.86

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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.