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Finding the Fourth Proportional to 846.42, 1,267.54 and 699.26

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Solution

The fourth proportional to 846.42, 1,267.54 and 699.26 is: 1,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.42 : 1,267.54 = 699.26 : x
  2. Step 2: Convert to fraction form
    846.42/1,267.54 = 699.26/x
  3. Step 3: Cross multiply
    846.42x = 1,267.54 × 699.26
  4. Step 4: Simplify right side
    846.42x = 886,340.02
  5. Step 5: Solve for x
    x = 886,340.02/846.42
  6. Step 6: Final answer
    x = 1,047.16

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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.