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Finding the Fourth Proportional to 772.44, 1,157.40 and 589.64

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Solution

The fourth proportional to 772.44, 1,157.40 and 589.64 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.44 : 1,157.40 = 589.64 : x
  2. Step 2: Convert to fraction form
    772.44/1,157.40 = 589.64/x
  3. Step 3: Cross multiply
    772.44x = 1,157.40 × 589.64
  4. Step 4: Simplify right side
    772.44x = 682,449.34
  5. Step 5: Solve for x
    x = 682,449.34/772.44
  6. Step 6: Final answer
    x = 883.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.