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Finding the Fourth Proportional to 1,354.53, 2,032.10 and 417.48

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Solution

The fourth proportional to 1,354.53, 2,032.10 and 417.48 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.53 : 2,032.10 = 417.48 : x
  2. Step 2: Convert to fraction form
    1,354.53/2,032.10 = 417.48/x
  3. Step 3: Cross multiply
    1,354.53x = 2,032.10 × 417.48
  4. Step 4: Simplify right side
    1,354.53x = 848,359.02
  5. Step 5: Solve for x
    x = 848,359.02/1,354.53
  6. Step 6: Final answer
    x = 626.31

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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.