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Finding the Fourth Proportional to 539.02, 741.51 and 472.33

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Solution

The fourth proportional to 539.02, 741.51 and 472.33 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.02 : 741.51 = 472.33 : x
  2. Step 2: Convert to fraction form
    539.02/741.51 = 472.33/x
  3. Step 3: Cross multiply
    539.02x = 741.51 × 472.33
  4. Step 4: Simplify right side
    539.02x = 350,237.42
  5. Step 5: Solve for x
    x = 350,237.42/539.02
  6. Step 6: Final answer
    x = 649.77

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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.