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Finding the Fourth Proportional to 556.77, 838.12 and 427.49

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Solution

The fourth proportional to 556.77, 838.12 and 427.49 is: 643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.77 : 838.12 = 427.49 : x
  2. Step 2: Convert to fraction form
    556.77/838.12 = 427.49/x
  3. Step 3: Cross multiply
    556.77x = 838.12 × 427.49
  4. Step 4: Simplify right side
    556.77x = 358,288.98
  5. Step 5: Solve for x
    x = 358,288.98/556.77
  6. Step 6: Final answer
    x = 643.51

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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.