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Finding the Fourth Proportional to 538.98, 742.93 and 407.76

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Solution

The fourth proportional to 538.98, 742.93 and 407.76 is: 562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.98 : 742.93 = 407.76 : x
  2. Step 2: Convert to fraction form
    538.98/742.93 = 407.76/x
  3. Step 3: Cross multiply
    538.98x = 742.93 × 407.76
  4. Step 4: Simplify right side
    538.98x = 302,938.29
  5. Step 5: Solve for x
    x = 302,938.29/538.98
  6. Step 6: Final answer
    x = 562.06

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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.