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Finding the Fourth Proportional to 539.56, 805.51 and 477.64

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Solution

The fourth proportional to 539.56, 805.51 and 477.64 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.56 : 805.51 = 477.64 : x
  2. Step 2: Convert to fraction form
    539.56/805.51 = 477.64/x
  3. Step 3: Cross multiply
    539.56x = 805.51 × 477.64
  4. Step 4: Simplify right side
    539.56x = 384,743.80
  5. Step 5: Solve for x
    x = 384,743.80/539.56
  6. Step 6: Final answer
    x = 713.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.