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Finding the Fourth Proportional to 469.35, 647.84 and 303.57

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Solution

The fourth proportional to 469.35, 647.84 and 303.57 is: 419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.35 : 647.84 = 303.57 : x
  2. Step 2: Convert to fraction form
    469.35/647.84 = 303.57/x
  3. Step 3: Cross multiply
    469.35x = 647.84 × 303.57
  4. Step 4: Simplify right side
    469.35x = 196,665.55
  5. Step 5: Solve for x
    x = 196,665.55/469.35
  6. Step 6: Final answer
    x = 419.02

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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.