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Finding the Fourth Proportional to 1,456, 2,010.24 and 904.96

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Solution

The fourth proportional to 1,456, 2,010.24 and 904.96 is: 1,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456 : 2,010.24 = 904.96 : x
  2. Step 2: Convert to fraction form
    1,456/2,010.24 = 904.96/x
  3. Step 3: Cross multiply
    1,456x = 2,010.24 × 904.96
  4. Step 4: Simplify right side
    1,456x = 1,819,186.79
  5. Step 5: Solve for x
    x = 1,819,186.79/1,456
  6. Step 6: Final answer
    x = 1,249.44

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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.