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Finding the Fourth Proportional to 1,487.23, 2,052.74 and 898.16

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Solution

The fourth proportional to 1,487.23, 2,052.74 and 898.16 is: 1,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.23 : 2,052.74 = 898.16 : x
  2. Step 2: Convert to fraction form
    1,487.23/2,052.74 = 898.16/x
  3. Step 3: Cross multiply
    1,487.23x = 2,052.74 × 898.16
  4. Step 4: Simplify right side
    1,487.23x = 1,843,680.94
  5. Step 5: Solve for x
    x = 1,843,680.94/1,487.23
  6. Step 6: Final answer
    x = 1,239.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.