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Finding the Fourth Proportional to 846.99, 1,269.89 and 407.71

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Solution

The fourth proportional to 846.99, 1,269.89 and 407.71 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.99 : 1,269.89 = 407.71 : x
  2. Step 2: Convert to fraction form
    846.99/1,269.89 = 407.71/x
  3. Step 3: Cross multiply
    846.99x = 1,269.89 × 407.71
  4. Step 4: Simplify right side
    846.99x = 517,746.85
  5. Step 5: Solve for x
    x = 517,746.85/846.99
  6. Step 6: Final answer
    x = 611.28

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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.