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Finding the Fourth Proportional to 899.38, 1,348.98 and 306.40

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Solution

The fourth proportional to 899.38, 1,348.98 and 306.40 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.38 : 1,348.98 = 306.40 : x
  2. Step 2: Convert to fraction form
    899.38/1,348.98 = 306.40/x
  3. Step 3: Cross multiply
    899.38x = 1,348.98 × 306.40
  4. Step 4: Simplify right side
    899.38x = 413,327.47
  5. Step 5: Solve for x
    x = 413,327.47/899.38
  6. Step 6: Final answer
    x = 459.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.