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Finding the Fourth Proportional to 473.35, 652.90 and 298.60

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Solution

The fourth proportional to 473.35, 652.90 and 298.60 is: 411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.35 : 652.90 = 298.60 : x
  2. Step 2: Convert to fraction form
    473.35/652.90 = 298.60/x
  3. Step 3: Cross multiply
    473.35x = 652.90 × 298.60
  4. Step 4: Simplify right side
    473.35x = 194,955.94
  5. Step 5: Solve for x
    x = 194,955.94/473.35
  6. Step 6: Final answer
    x = 411.86

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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.