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Finding the Fourth Proportional to 470.21, 701.26 and 455.02

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Solution

The fourth proportional to 470.21, 701.26 and 455.02 is: 678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.21 : 701.26 = 455.02 : x
  2. Step 2: Convert to fraction form
    470.21/701.26 = 455.02/x
  3. Step 3: Cross multiply
    470.21x = 701.26 × 455.02
  4. Step 4: Simplify right side
    470.21x = 319,084.43
  5. Step 5: Solve for x
    x = 319,084.43/470.21
  6. Step 6: Final answer
    x = 678.61

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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.