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Finding the Fourth Proportional to 622.64, 858.34 and 456.56

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Solution

The fourth proportional to 622.64, 858.34 and 456.56 is: 629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.64 : 858.34 = 456.56 : x
  2. Step 2: Convert to fraction form
    622.64/858.34 = 456.56/x
  3. Step 3: Cross multiply
    622.64x = 858.34 × 456.56
  4. Step 4: Simplify right side
    622.64x = 391,883.71
  5. Step 5: Solve for x
    x = 391,883.71/622.64
  6. Step 6: Final answer
    x = 629.39

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1.5x scale

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.