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Finding the Fourth Proportional to 470.02, 648.60 and 357.82

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Solution

The fourth proportional to 470.02, 648.60 and 357.82 is: 493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 648.60 = 357.82 : x
  2. Step 2: Convert to fraction form
    470.02/648.60 = 357.82/x
  3. Step 3: Cross multiply
    470.02x = 648.60 × 357.82
  4. Step 4: Simplify right side
    470.02x = 232,082.05
  5. Step 5: Solve for x
    x = 232,082.05/470.02
  6. Step 6: Final answer
    x = 493.77

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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.