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Finding the Fourth Proportional to 825.01, 1,137.47 and 589.24

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Solution

The fourth proportional to 825.01, 1,137.47 and 589.24 is: 812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.01 : 1,137.47 = 589.24 : x
  2. Step 2: Convert to fraction form
    825.01/1,137.47 = 589.24/x
  3. Step 3: Cross multiply
    825.01x = 1,137.47 × 589.24
  4. Step 4: Simplify right side
    825.01x = 670,239.88
  5. Step 5: Solve for x
    x = 670,239.88/825.01
  6. Step 6: Final answer
    x = 812.40

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Double scale
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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.