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Finding the Fourth Proportional to 469.66, 648.08 and 353.02

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Solution

The fourth proportional to 469.66, 648.08 and 353.02 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.66 : 648.08 = 353.02 : x
  2. Step 2: Convert to fraction form
    469.66/648.08 = 353.02/x
  3. Step 3: Cross multiply
    469.66x = 648.08 × 353.02
  4. Step 4: Simplify right side
    469.66x = 228,785.20
  5. Step 5: Solve for x
    x = 228,785.20/469.66
  6. Step 6: Final answer
    x = 487.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.