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Finding the Fourth Proportional to 473.80, 653.50 and 296.62

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Solution

The fourth proportional to 473.80, 653.50 and 296.62 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.80 : 653.50 = 296.62 : x
  2. Step 2: Convert to fraction form
    473.80/653.50 = 296.62/x
  3. Step 3: Cross multiply
    473.80x = 653.50 × 296.62
  4. Step 4: Simplify right side
    473.80x = 193,841.17
  5. Step 5: Solve for x
    x = 193,841.17/473.80
  6. Step 6: Final answer
    x = 409.12

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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.