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Finding the Fourth Proportional to 851.45, 1,277.47 and 440.85

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Solution

The fourth proportional to 851.45, 1,277.47 and 440.85 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.45 : 1,277.47 = 440.85 : x
  2. Step 2: Convert to fraction form
    851.45/1,277.47 = 440.85/x
  3. Step 3: Cross multiply
    851.45x = 1,277.47 × 440.85
  4. Step 4: Simplify right side
    851.45x = 563,174.40
  5. Step 5: Solve for x
    x = 563,174.40/851.45
  6. Step 6: Final answer
    x = 661.43

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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.