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Finding the Fourth Proportional to 473.43, 652.72 and 346.99

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Solution

The fourth proportional to 473.43, 652.72 and 346.99 is: 478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.43 : 652.72 = 346.99 : x
  2. Step 2: Convert to fraction form
    473.43/652.72 = 346.99/x
  3. Step 3: Cross multiply
    473.43x = 652.72 × 346.99
  4. Step 4: Simplify right side
    473.43x = 226,486.45
  5. Step 5: Solve for x
    x = 226,486.45/473.43
  6. Step 6: Final answer
    x = 478.40

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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.