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Finding the Fourth Proportional to 1,487.48, 2,053.24 and 898.34

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Solution

The fourth proportional to 1,487.48, 2,053.24 and 898.34 is: 1,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.48 : 2,053.24 = 898.34 : x
  2. Step 2: Convert to fraction form
    1,487.48/2,053.24 = 898.34/x
  3. Step 3: Cross multiply
    1,487.48x = 2,053.24 × 898.34
  4. Step 4: Simplify right side
    1,487.48x = 1,844,507.62
  5. Step 5: Solve for x
    x = 1,844,507.62/1,487.48
  6. Step 6: Final answer
    x = 1,240.02

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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.