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Finding the Fourth Proportional to 955.24, 1,430.44 and 800.76

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Solution

The fourth proportional to 955.24, 1,430.44 and 800.76 is: 1,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.24 : 1,430.44 = 800.76 : x
  2. Step 2: Convert to fraction form
    955.24/1,430.44 = 800.76/x
  3. Step 3: Cross multiply
    955.24x = 1,430.44 × 800.76
  4. Step 4: Simplify right side
    955.24x = 1,145,439.13
  5. Step 5: Solve for x
    x = 1,145,439.13/955.24
  6. Step 6: Final answer
    x = 1,199.11

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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.