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Finding the Fourth Proportional to 622.83, 859.53 and 357.32

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Solution

The fourth proportional to 622.83, 859.53 and 357.32 is: 493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.83 : 859.53 = 357.32 : x
  2. Step 2: Convert to fraction form
    622.83/859.53 = 357.32/x
  3. Step 3: Cross multiply
    622.83x = 859.53 × 357.32
  4. Step 4: Simplify right side
    622.83x = 307,127.26
  5. Step 5: Solve for x
    x = 307,127.26/622.83
  6. Step 6: Final answer
    x = 493.12

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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.