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Finding the Fourth Proportional to 1,021.74, 1,410.09 and 579.69

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Solution

The fourth proportional to 1,021.74, 1,410.09 and 579.69 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.74 : 1,410.09 = 579.69 : x
  2. Step 2: Convert to fraction form
    1,021.74/1,410.09 = 579.69/x
  3. Step 3: Cross multiply
    1,021.74x = 1,410.09 × 579.69
  4. Step 4: Simplify right side
    1,021.74x = 817,415.07
  5. Step 5: Solve for x
    x = 817,415.07/1,021.74
  6. Step 6: Final answer
    x = 800.02

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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.