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Finding the Fourth Proportional to 583.60, 809.44 and 562.84

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Solution

The fourth proportional to 583.60, 809.44 and 562.84 is: 780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.60 : 809.44 = 562.84 : x
  2. Step 2: Convert to fraction form
    583.60/809.44 = 562.84/x
  3. Step 3: Cross multiply
    583.60x = 809.44 × 562.84
  4. Step 4: Simplify right side
    583.60x = 455,585.21
  5. Step 5: Solve for x
    x = 455,585.21/583.60
  6. Step 6: Final answer
    x = 780.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.