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Finding the Fourth Proportional to 846.79, 1,270.45 and 781.63

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Solution

The fourth proportional to 846.79, 1,270.45 and 781.63 is: 1,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.79 : 1,270.45 = 781.63 : x
  2. Step 2: Convert to fraction form
    846.79/1,270.45 = 781.63/x
  3. Step 3: Cross multiply
    846.79x = 1,270.45 × 781.63
  4. Step 4: Simplify right side
    846.79x = 993,015.48
  5. Step 5: Solve for x
    x = 993,015.48/846.79
  6. Step 6: Final answer
    x = 1,172.69

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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.