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Finding the Fourth Proportional to 905.48, 1,250.74 and 741.76

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Solution

The fourth proportional to 905.48, 1,250.74 and 741.76 is: 1,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.48 : 1,250.74 = 741.76 : x
  2. Step 2: Convert to fraction form
    905.48/1,250.74 = 741.76/x
  3. Step 3: Cross multiply
    905.48x = 1,250.74 × 741.76
  4. Step 4: Simplify right side
    905.48x = 927,746.70
  5. Step 5: Solve for x
    x = 927,746.70/905.48
  6. Step 6: Final answer
    x = 1,024.59

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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.