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Finding the Fourth Proportional to 1,365.52, 2,048.40 and 440.86

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Solution

The fourth proportional to 1,365.52, 2,048.40 and 440.86 is: 661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.52 : 2,048.40 = 440.86 : x
  2. Step 2: Convert to fraction form
    1,365.52/2,048.40 = 440.86/x
  3. Step 3: Cross multiply
    1,365.52x = 2,048.40 × 440.86
  4. Step 4: Simplify right side
    1,365.52x = 903,057.62
  5. Step 5: Solve for x
    x = 903,057.62/1,365.52
  6. Step 6: Final answer
    x = 661.33

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1.5x scale

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.