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Finding the Fourth Proportional to 622.78, 858.48 and 456.76

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Solution

The fourth proportional to 622.78, 858.48 and 456.76 is: 629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.78 : 858.48 = 456.76 : x
  2. Step 2: Convert to fraction form
    622.78/858.48 = 456.76/x
  3. Step 3: Cross multiply
    622.78x = 858.48 × 456.76
  4. Step 4: Simplify right side
    622.78x = 392,119.32
  5. Step 5: Solve for x
    x = 392,119.32/622.78
  6. Step 6: Final answer
    x = 629.63

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Double scale
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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.