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Finding the Fourth Proportional to 935.48, 1,391.33 and 917.06

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Solution

The fourth proportional to 935.48, 1,391.33 and 917.06 is: 1,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.48 : 1,391.33 = 917.06 : x
  2. Step 2: Convert to fraction form
    935.48/1,391.33 = 917.06/x
  3. Step 3: Cross multiply
    935.48x = 1,391.33 × 917.06
  4. Step 4: Simplify right side
    935.48x = 1,275,933.09
  5. Step 5: Solve for x
    x = 1,275,933.09/935.48
  6. Step 6: Final answer
    x = 1,363.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.