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Finding the Fourth Proportional to 470.02, 648.74 and 312.90

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Solution

The fourth proportional to 470.02, 648.74 and 312.90 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 648.74 = 312.90 : x
  2. Step 2: Convert to fraction form
    470.02/648.74 = 312.90/x
  3. Step 3: Cross multiply
    470.02x = 648.74 × 312.90
  4. Step 4: Simplify right side
    470.02x = 202,990.75
  5. Step 5: Solve for x
    x = 202,990.75/470.02
  6. Step 6: Final answer
    x = 431.88

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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.