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Finding the Fourth Proportional to 598.12, 901.74 and 556.36

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Solution

The fourth proportional to 598.12, 901.74 and 556.36 is: 838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.12 : 901.74 = 556.36 : x
  2. Step 2: Convert to fraction form
    598.12/901.74 = 556.36/x
  3. Step 3: Cross multiply
    598.12x = 901.74 × 556.36
  4. Step 4: Simplify right side
    598.12x = 501,692.07
  5. Step 5: Solve for x
    x = 501,692.07/598.12
  6. Step 6: Final answer
    x = 838.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.