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Finding the Fourth Proportional to 538.06, 742.02 and 468.07

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Solution

The fourth proportional to 538.06, 742.02 and 468.07 is: 645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.06 : 742.02 = 468.07 : x
  2. Step 2: Convert to fraction form
    538.06/742.02 = 468.07/x
  3. Step 3: Cross multiply
    538.06x = 742.02 × 468.07
  4. Step 4: Simplify right side
    538.06x = 347,317.30
  5. Step 5: Solve for x
    x = 347,317.30/538.06
  6. Step 6: Final answer
    x = 645.50

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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.