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Finding the Fourth Proportional to 1,324.98, 1,829.31 and 906.03

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Solution

The fourth proportional to 1,324.98, 1,829.31 and 906.03 is: 1,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.98 : 1,829.31 = 906.03 : x
  2. Step 2: Convert to fraction form
    1,324.98/1,829.31 = 906.03/x
  3. Step 3: Cross multiply
    1,324.98x = 1,829.31 × 906.03
  4. Step 4: Simplify right side
    1,324.98x = 1,657,409.74
  5. Step 5: Solve for x
    x = 1,657,409.74/1,324.98
  6. Step 6: Final answer
    x = 1,250.89

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1.5x scale

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.