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Finding the Fourth Proportional to 900.24, 1,240.80 and 712.86

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Solution

The fourth proportional to 900.24, 1,240.80 and 712.86 is: 982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.24 : 1,240.80 = 712.86 : x
  2. Step 2: Convert to fraction form
    900.24/1,240.80 = 712.86/x
  3. Step 3: Cross multiply
    900.24x = 1,240.80 × 712.86
  4. Step 4: Simplify right side
    900.24x = 884,516.69
  5. Step 5: Solve for x
    x = 884,516.69/900.24
  6. Step 6: Final answer
    x = 982.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.