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Finding the Fourth Proportional to 847.69, 1,270.70 and 457.81

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Solution

The fourth proportional to 847.69, 1,270.70 and 457.81 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.69 : 1,270.70 = 457.81 : x
  2. Step 2: Convert to fraction form
    847.69/1,270.70 = 457.81/x
  3. Step 3: Cross multiply
    847.69x = 1,270.70 × 457.81
  4. Step 4: Simplify right side
    847.69x = 581,736.88
  5. Step 5: Solve for x
    x = 581,736.88/847.69
  6. Step 6: Final answer
    x = 686.26

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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.