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Finding the Fourth Proportional to 955.48, 1,430.90 and 491.80

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Solution

The fourth proportional to 955.48, 1,430.90 and 491.80 is: 736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.48 : 1,430.90 = 491.80 : x
  2. Step 2: Convert to fraction form
    955.48/1,430.90 = 491.80/x
  3. Step 3: Cross multiply
    955.48x = 1,430.90 × 491.80
  4. Step 4: Simplify right side
    955.48x = 703,716.62
  5. Step 5: Solve for x
    x = 703,716.62/955.48
  6. Step 6: Final answer
    x = 736.51

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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.