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Finding the Fourth Proportional to 1,093.04, 1,637.73 and 898.64

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Solution

The fourth proportional to 1,093.04, 1,637.73 and 898.64 is: 1,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.04 : 1,637.73 = 898.64 : x
  2. Step 2: Convert to fraction form
    1,093.04/1,637.73 = 898.64/x
  3. Step 3: Cross multiply
    1,093.04x = 1,637.73 × 898.64
  4. Step 4: Simplify right side
    1,093.04x = 1,471,721.50
  5. Step 5: Solve for x
    x = 1,471,721.50/1,093.04
  6. Step 6: Final answer
    x = 1,346.45

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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.