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Finding the Fourth Proportional to 1,468.51, 2,203.12 and 428.49

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Solution

The fourth proportional to 1,468.51, 2,203.12 and 428.49 is: 642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.51 : 2,203.12 = 428.49 : x
  2. Step 2: Convert to fraction form
    1,468.51/2,203.12 = 428.49/x
  3. Step 3: Cross multiply
    1,468.51x = 2,203.12 × 428.49
  4. Step 4: Simplify right side
    1,468.51x = 944,013.01
  5. Step 5: Solve for x
    x = 944,013.01/1,468.51
  6. Step 6: Final answer
    x = 642.84

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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.