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Finding the Fourth Proportional to 851.24, 1,277.54 and 440.49

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Solution

The fourth proportional to 851.24, 1,277.54 and 440.49 is: 661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.24 : 1,277.54 = 440.49 : x
  2. Step 2: Convert to fraction form
    851.24/1,277.54 = 440.49/x
  3. Step 3: Cross multiply
    851.24x = 1,277.54 × 440.49
  4. Step 4: Simplify right side
    851.24x = 562,747.83
  5. Step 5: Solve for x
    x = 562,747.83/851.24
  6. Step 6: Final answer
    x = 661.09

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Half scale
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Double scale
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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.