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Finding the Fourth Proportional to 544.40, 751.31 and 470.89

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Solution

The fourth proportional to 544.40, 751.31 and 470.89 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 751.31 = 470.89 : x
  2. Step 2: Convert to fraction form
    544.40/751.31 = 470.89/x
  3. Step 3: Cross multiply
    544.40x = 751.31 × 470.89
  4. Step 4: Simplify right side
    544.40x = 353,784.37
  5. Step 5: Solve for x
    x = 353,784.37/544.40
  6. Step 6: Final answer
    x = 649.86

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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.