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Finding the Fourth Proportional to 846, 1,269.36 and 407.50

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Solution

The fourth proportional to 846, 1,269.36 and 407.50 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    846 : 1,269.36 = 407.50 : x
  2. Step 2: Convert to fraction form
    846/1,269.36 = 407.50/x
  3. Step 3: Cross multiply
    846x = 1,269.36 × 407.50
  4. Step 4: Simplify right side
    846x = 517,264.20
  5. Step 5: Solve for x
    x = 517,264.20/846
  6. Step 6: Final answer
    x = 611.42

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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.