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Finding the Fourth Proportional to 622.07, 858.39 and 457

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Solution

The fourth proportional to 622.07, 858.39 and 457 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.07 : 858.39 = 457 : x
  2. Step 2: Convert to fraction form
    622.07/858.39 = 457/x
  3. Step 3: Cross multiply
    622.07x = 858.39 × 457
  4. Step 4: Simplify right side
    622.07x = 392,284.23
  5. Step 5: Solve for x
    x = 392,284.23/622.07
  6. Step 6: Final answer
    x = 630.61

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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.