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Finding the Fourth Proportional to 622.66, 858.73 and 511.49

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Solution

The fourth proportional to 622.66, 858.73 and 511.49 is: 705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.66 : 858.73 = 511.49 : x
  2. Step 2: Convert to fraction form
    622.66/858.73 = 511.49/x
  3. Step 3: Cross multiply
    622.66x = 858.73 × 511.49
  4. Step 4: Simplify right side
    622.66x = 439,231.81
  5. Step 5: Solve for x
    x = 439,231.81/622.66
  6. Step 6: Final answer
    x = 705.41

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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.