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Finding the Fourth Proportional to 473.76, 653.80 and 299.08

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Solution

The fourth proportional to 473.76, 653.80 and 299.08 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 653.80 = 299.08 : x
  2. Step 2: Convert to fraction form
    473.76/653.80 = 299.08/x
  3. Step 3: Cross multiply
    473.76x = 653.80 × 299.08
  4. Step 4: Simplify right side
    473.76x = 195,538.50
  5. Step 5: Solve for x
    x = 195,538.50/473.76
  6. Step 6: Final answer
    x = 412.74

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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.