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Finding the Fourth Proportional to 573.23, 858.69 and 264.65

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Solution

The fourth proportional to 573.23, 858.69 and 264.65 is: 396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.23 : 858.69 = 264.65 : x
  2. Step 2: Convert to fraction form
    573.23/858.69 = 264.65/x
  3. Step 3: Cross multiply
    573.23x = 858.69 × 264.65
  4. Step 4: Simplify right side
    573.23x = 227,248.02
  5. Step 5: Solve for x
    x = 227,248.02/573.23
  6. Step 6: Final answer
    x = 396.44

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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.