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Finding the Fourth Proportional to 539.14, 743.58 and 473.50

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Solution

The fourth proportional to 539.14, 743.58 and 473.50 is: 653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 743.58 = 473.50 : x
  2. Step 2: Convert to fraction form
    539.14/743.58 = 473.50/x
  3. Step 3: Cross multiply
    539.14x = 743.58 × 473.50
  4. Step 4: Simplify right side
    539.14x = 352,085.13
  5. Step 5: Solve for x
    x = 352,085.13/539.14
  6. Step 6: Final answer
    x = 653.05

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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.