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Finding the Fourth Proportional to 470.08, 701.29 and 458.00

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Solution

The fourth proportional to 470.08, 701.29 and 458.00 is: 683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 701.29 = 458.00 : x
  2. Step 2: Convert to fraction form
    470.08/701.29 = 458.00/x
  3. Step 3: Cross multiply
    470.08x = 701.29 × 458.00
  4. Step 4: Simplify right side
    470.08x = 321,189.63
  5. Step 5: Solve for x
    x = 321,189.63/470.08
  6. Step 6: Final answer
    x = 683.27

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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.