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Finding the Fourth Proportional to 469.78, 647.52 and 353.14

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Solution

The fourth proportional to 469.78, 647.52 and 353.14 is: 486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.78 : 647.52 = 353.14 : x
  2. Step 2: Convert to fraction form
    469.78/647.52 = 353.14/x
  3. Step 3: Cross multiply
    469.78x = 647.52 × 353.14
  4. Step 4: Simplify right side
    469.78x = 228,665.21
  5. Step 5: Solve for x
    x = 228,665.21/469.78
  6. Step 6: Final answer
    x = 486.75

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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.