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Finding the Fourth Proportional to 583.69, 805.38 and 443.77

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Solution

The fourth proportional to 583.69, 805.38 and 443.77 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.69 : 805.38 = 443.77 : x
  2. Step 2: Convert to fraction form
    583.69/805.38 = 443.77/x
  3. Step 3: Cross multiply
    583.69x = 805.38 × 443.77
  4. Step 4: Simplify right side
    583.69x = 357,401.26
  5. Step 5: Solve for x
    x = 357,401.26/583.69
  6. Step 6: Final answer
    x = 612.31

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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.