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Finding the Fourth Proportional to 1,207.85, 1,812.15 and 477.02

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Solution

The fourth proportional to 1,207.85, 1,812.15 and 477.02 is: 715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.85 : 1,812.15 = 477.02 : x
  2. Step 2: Convert to fraction form
    1,207.85/1,812.15 = 477.02/x
  3. Step 3: Cross multiply
    1,207.85x = 1,812.15 × 477.02
  4. Step 4: Simplify right side
    1,207.85x = 864,436.32
  5. Step 5: Solve for x
    x = 864,436.32/1,207.85
  6. Step 6: Final answer
    x = 715.68

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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.