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Finding the Fourth Proportional to 914.40, 1,262.96 and 728.56

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Solution

The fourth proportional to 914.40, 1,262.96 and 728.56 is: 1,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.40 : 1,262.96 = 728.56 : x
  2. Step 2: Convert to fraction form
    914.40/1,262.96 = 728.56/x
  3. Step 3: Cross multiply
    914.40x = 1,262.96 × 728.56
  4. Step 4: Simplify right side
    914.40x = 920,142.14
  5. Step 5: Solve for x
    x = 920,142.14/914.40
  6. Step 6: Final answer
    x = 1,006.28

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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.