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Finding the Fourth Proportional to 941.76, 1,412.67 and 899.64

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Solution

The fourth proportional to 941.76, 1,412.67 and 899.64 is: 1,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.76 : 1,412.67 = 899.64 : x
  2. Step 2: Convert to fraction form
    941.76/1,412.67 = 899.64/x
  3. Step 3: Cross multiply
    941.76x = 1,412.67 × 899.64
  4. Step 4: Simplify right side
    941.76x = 1,270,894.44
  5. Step 5: Solve for x
    x = 1,270,894.44/941.76
  6. Step 6: Final answer
    x = 1,349.49

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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.