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Finding the Fourth Proportional to 846.76, 1,269.55 and 407.99

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Solution

The fourth proportional to 846.76, 1,269.55 and 407.99 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.76 : 1,269.55 = 407.99 : x
  2. Step 2: Convert to fraction form
    846.76/1,269.55 = 407.99/x
  3. Step 3: Cross multiply
    846.76x = 1,269.55 × 407.99
  4. Step 4: Simplify right side
    846.76x = 517,963.70
  5. Step 5: Solve for x
    x = 517,963.70/846.76
  6. Step 6: Final answer
    x = 611.70

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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.