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Finding the Fourth Proportional to 846.19, 1,267.35 and 821.62

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Solution

The fourth proportional to 846.19, 1,267.35 and 821.62 is: 1,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.19 : 1,267.35 = 821.62 : x
  2. Step 2: Convert to fraction form
    846.19/1,267.35 = 821.62/x
  3. Step 3: Cross multiply
    846.19x = 1,267.35 × 821.62
  4. Step 4: Simplify right side
    846.19x = 1,041,280.11
  5. Step 5: Solve for x
    x = 1,041,280.11/846.19
  6. Step 6: Final answer
    x = 1,230.55

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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.