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Finding the Fourth Proportional to 470.68, 701.09 and 459.88

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Solution

The fourth proportional to 470.68, 701.09 and 459.88 is: 685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 701.09 = 459.88 : x
  2. Step 2: Convert to fraction form
    470.68/701.09 = 459.88/x
  3. Step 3: Cross multiply
    470.68x = 701.09 × 459.88
  4. Step 4: Simplify right side
    470.68x = 322,417.27
  5. Step 5: Solve for x
    x = 322,417.27/470.68
  6. Step 6: Final answer
    x = 685.00

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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.