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Finding the Fourth Proportional to 1,737.90, 2,606.83 and 421.66

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Solution

The fourth proportional to 1,737.90, 2,606.83 and 421.66 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.90 : 2,606.83 = 421.66 : x
  2. Step 2: Convert to fraction form
    1,737.90/2,606.83 = 421.66/x
  3. Step 3: Cross multiply
    1,737.90x = 2,606.83 × 421.66
  4. Step 4: Simplify right side
    1,737.90x = 1,099,206.51
  5. Step 5: Solve for x
    x = 1,099,206.51/1,737.90
  6. Step 6: Final answer
    x = 632.49

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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.