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Finding the Fourth Proportional to 935.19, 1,289.73 and 713.73

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Solution

The fourth proportional to 935.19, 1,289.73 and 713.73 is: 984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.19 : 1,289.73 = 713.73 : x
  2. Step 2: Convert to fraction form
    935.19/1,289.73 = 713.73/x
  3. Step 3: Cross multiply
    935.19x = 1,289.73 × 713.73
  4. Step 4: Simplify right side
    935.19x = 920,518.99
  5. Step 5: Solve for x
    x = 920,518.99/935.19
  6. Step 6: Final answer
    x = 984.31

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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.