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Finding the Fourth Proportional to 1,737.78, 2,606.85 and 812.82

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Solution

The fourth proportional to 1,737.78, 2,606.85 and 812.82 is: 1,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.78 : 2,606.85 = 812.82 : x
  2. Step 2: Convert to fraction form
    1,737.78/2,606.85 = 812.82/x
  3. Step 3: Cross multiply
    1,737.78x = 2,606.85 × 812.82
  4. Step 4: Simplify right side
    1,737.78x = 2,118,899.82
  5. Step 5: Solve for x
    x = 2,118,899.82/1,737.78
  6. Step 6: Final answer
    x = 1,219.31

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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.