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Finding the Fourth Proportional to 652.99, 974.42 and 583.75

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Solution

The fourth proportional to 652.99, 974.42 and 583.75 is: 871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.99 : 974.42 = 583.75 : x
  2. Step 2: Convert to fraction form
    652.99/974.42 = 583.75/x
  3. Step 3: Cross multiply
    652.99x = 974.42 × 583.75
  4. Step 4: Simplify right side
    652.99x = 568,817.68
  5. Step 5: Solve for x
    x = 568,817.68/652.99
  6. Step 6: Final answer
    x = 871.10

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Double scale
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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.