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Finding the Fourth Proportional to 954.43, 1,430.57 and 491.56

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Solution

The fourth proportional to 954.43, 1,430.57 and 491.56 is: 736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.43 : 1,430.57 = 491.56 : x
  2. Step 2: Convert to fraction form
    954.43/1,430.57 = 491.56/x
  3. Step 3: Cross multiply
    954.43x = 1,430.57 × 491.56
  4. Step 4: Simplify right side
    954.43x = 703,203.84
  5. Step 5: Solve for x
    x = 703,203.84/954.43
  6. Step 6: Final answer
    x = 736.78

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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.