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Finding the Fourth Proportional to 1,628.02, 2,441.89 and 457.93

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Solution

The fourth proportional to 1,628.02, 2,441.89 and 457.93 is: 686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.02 : 2,441.89 = 457.93 : x
  2. Step 2: Convert to fraction form
    1,628.02/2,441.89 = 457.93/x
  3. Step 3: Cross multiply
    1,628.02x = 2,441.89 × 457.93
  4. Step 4: Simplify right side
    1,628.02x = 1,118,214.69
  5. Step 5: Solve for x
    x = 1,118,214.69/1,628.02
  6. Step 6: Final answer
    x = 686.86

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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.