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Finding the Fourth Proportional to 622.47, 858.87 and 498.24

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Solution

The fourth proportional to 622.47, 858.87 and 498.24 is: 687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.47 : 858.87 = 498.24 : x
  2. Step 2: Convert to fraction form
    622.47/858.87 = 498.24/x
  3. Step 3: Cross multiply
    622.47x = 858.87 × 498.24
  4. Step 4: Simplify right side
    622.47x = 427,923.39
  5. Step 5: Solve for x
    x = 427,923.39/622.47
  6. Step 6: Final answer
    x = 687.46

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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.