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Finding the Fourth Proportional to 847.26, 1,269.68 and 456.50

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Solution

The fourth proportional to 847.26, 1,269.68 and 456.50 is: 684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.26 : 1,269.68 = 456.50 : x
  2. Step 2: Convert to fraction form
    847.26/1,269.68 = 456.50/x
  3. Step 3: Cross multiply
    847.26x = 1,269.68 × 456.50
  4. Step 4: Simplify right side
    847.26x = 579,608.92
  5. Step 5: Solve for x
    x = 579,608.92/847.26
  6. Step 6: Final answer
    x = 684.10

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1.5x scale

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.