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Finding the Fourth Proportional to 508.43, 701.00 and 342.35

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Solution

The fourth proportional to 508.43, 701.00 and 342.35 is: 472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.43 : 701.00 = 342.35 : x
  2. Step 2: Convert to fraction form
    508.43/701.00 = 342.35/x
  3. Step 3: Cross multiply
    508.43x = 701.00 × 342.35
  4. Step 4: Simplify right side
    508.43x = 239,989.94
  5. Step 5: Solve for x
    x = 239,989.94/508.43
  6. Step 6: Final answer
    x = 472.02

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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.