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Finding the Fourth Proportional to 622.01, 858.24 and 456.30

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Solution

The fourth proportional to 622.01, 858.24 and 456.30 is: 629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.01 : 858.24 = 456.30 : x
  2. Step 2: Convert to fraction form
    622.01/858.24 = 456.30/x
  3. Step 3: Cross multiply
    622.01x = 858.24 × 456.30
  4. Step 4: Simplify right side
    622.01x = 391,614.91
  5. Step 5: Solve for x
    x = 391,614.91/622.01
  6. Step 6: Final answer
    x = 629.60

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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.