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Finding the Fourth Proportional to 573.80, 859.99 and 265.23

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Solution

The fourth proportional to 573.80, 859.99 and 265.23 is: 397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 859.99 = 265.23 : x
  2. Step 2: Convert to fraction form
    573.80/859.99 = 265.23/x
  3. Step 3: Cross multiply
    573.80x = 859.99 × 265.23
  4. Step 4: Simplify right side
    573.80x = 228,094.48
  5. Step 5: Solve for x
    x = 228,094.48/573.80
  6. Step 6: Final answer
    x = 397.52

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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.