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Finding the Fourth Proportional to 583.10, 804.78 and 346.94

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Solution

The fourth proportional to 583.10, 804.78 and 346.94 is: 478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.10 : 804.78 = 346.94 : x
  2. Step 2: Convert to fraction form
    583.10/804.78 = 346.94/x
  3. Step 3: Cross multiply
    583.10x = 804.78 × 346.94
  4. Step 4: Simplify right side
    583.10x = 279,210.37
  5. Step 5: Solve for x
    x = 279,210.37/583.10
  6. Step 6: Final answer
    x = 478.84

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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.