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Finding the Fourth Proportional to 473.22, 652.65 and 307.35

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Solution

The fourth proportional to 473.22, 652.65 and 307.35 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.22 : 652.65 = 307.35 : x
  2. Step 2: Convert to fraction form
    473.22/652.65 = 307.35/x
  3. Step 3: Cross multiply
    473.22x = 652.65 × 307.35
  4. Step 4: Simplify right side
    473.22x = 200,591.98
  5. Step 5: Solve for x
    x = 200,591.98/473.22
  6. Step 6: Final answer
    x = 423.89

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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.