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Finding the Fourth Proportional to 1,155.21, 1,594.89 and 713.70

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Solution

The fourth proportional to 1,155.21, 1,594.89 and 713.70 is: 985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.21 : 1,594.89 = 713.70 : x
  2. Step 2: Convert to fraction form
    1,155.21/1,594.89 = 713.70/x
  3. Step 3: Cross multiply
    1,155.21x = 1,594.89 × 713.70
  4. Step 4: Simplify right side
    1,155.21x = 1,138,272.99
  5. Step 5: Solve for x
    x = 1,138,272.99/1,155.21
  6. Step 6: Final answer
    x = 985.34

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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.