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Finding the Fourth Proportional to 538.57, 805.96 and 373.24

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Solution

The fourth proportional to 538.57, 805.96 and 373.24 is: 558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.57 : 805.96 = 373.24 : x
  2. Step 2: Convert to fraction form
    538.57/805.96 = 373.24/x
  3. Step 3: Cross multiply
    538.57x = 805.96 × 373.24
  4. Step 4: Simplify right side
    538.57x = 300,816.51
  5. Step 5: Solve for x
    x = 300,816.51/538.57
  6. Step 6: Final answer
    x = 558.55

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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.