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Finding the Fourth Proportional to 1,688.33, 2,532.63 and 455.75

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Solution

The fourth proportional to 1,688.33, 2,532.63 and 455.75 is: 683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.33 : 2,532.63 = 455.75 : x
  2. Step 2: Convert to fraction form
    1,688.33/2,532.63 = 455.75/x
  3. Step 3: Cross multiply
    1,688.33x = 2,532.63 × 455.75
  4. Step 4: Simplify right side
    1,688.33x = 1,154,249.87
  5. Step 5: Solve for x
    x = 1,154,249.87/1,688.33
  6. Step 6: Final answer
    x = 683.66

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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.