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Finding the Fourth Proportional to 544.62, 750.86 and 470.78

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Solution

The fourth proportional to 544.62, 750.86 and 470.78 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.62 : 750.86 = 470.78 : x
  2. Step 2: Convert to fraction form
    544.62/750.86 = 470.78/x
  3. Step 3: Cross multiply
    544.62x = 750.86 × 470.78
  4. Step 4: Simplify right side
    544.62x = 353,489.87
  5. Step 5: Solve for x
    x = 353,489.87/544.62
  6. Step 6: Final answer
    x = 649.06

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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.