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Finding the Fourth Proportional to 1,409.70, 2,114.81 and 472.55

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Solution

The fourth proportional to 1,409.70, 2,114.81 and 472.55 is: 708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.70 : 2,114.81 = 472.55 : x
  2. Step 2: Convert to fraction form
    1,409.70/2,114.81 = 472.55/x
  3. Step 3: Cross multiply
    1,409.70x = 2,114.81 × 472.55
  4. Step 4: Simplify right side
    1,409.70x = 999,352.42
  5. Step 5: Solve for x
    x = 999,352.42/1,409.70
  6. Step 6: Final answer
    x = 708.91

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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.