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Finding the Fourth Proportional to 851.02, 1,277.66 and 440.42

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Solution

The fourth proportional to 851.02, 1,277.66 and 440.42 is: 661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.02 : 1,277.66 = 440.42 : x
  2. Step 2: Convert to fraction form
    851.02/1,277.66 = 440.42/x
  3. Step 3: Cross multiply
    851.02x = 1,277.66 × 440.42
  4. Step 4: Simplify right side
    851.02x = 562,707.02
  5. Step 5: Solve for x
    x = 562,707.02/851.02
  6. Step 6: Final answer
    x = 661.21

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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.