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Finding the Fourth Proportional to 538.32, 742.90 and 505.29

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Solution

The fourth proportional to 538.32, 742.90 and 505.29 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.32 : 742.90 = 505.29 : x
  2. Step 2: Convert to fraction form
    538.32/742.90 = 505.29/x
  3. Step 3: Cross multiply
    538.32x = 742.90 × 505.29
  4. Step 4: Simplify right side
    538.32x = 375,376.81
  5. Step 5: Solve for x
    x = 375,376.81/538.32
  6. Step 6: Final answer
    x = 697.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.