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Finding the Fourth Proportional to 898.93, 1,241.04 and 649.99

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Solution

The fourth proportional to 898.93, 1,241.04 and 649.99 is: 897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.93 : 1,241.04 = 649.99 : x
  2. Step 2: Convert to fraction form
    898.93/1,241.04 = 649.99/x
  3. Step 3: Cross multiply
    898.93x = 1,241.04 × 649.99
  4. Step 4: Simplify right side
    898.93x = 806,663.59
  5. Step 5: Solve for x
    x = 806,663.59/898.93
  6. Step 6: Final answer
    x = 897.36

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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.