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Finding the Fourth Proportional to 612.68, 922.78 and 556.63

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Solution

The fourth proportional to 612.68, 922.78 and 556.63 is: 838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 922.78 = 556.63 : x
  2. Step 2: Convert to fraction form
    612.68/922.78 = 556.63/x
  3. Step 3: Cross multiply
    612.68x = 922.78 × 556.63
  4. Step 4: Simplify right side
    612.68x = 513,647.03
  5. Step 5: Solve for x
    x = 513,647.03/612.68
  6. Step 6: Final answer
    x = 838.36

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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.