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Finding the Fourth Proportional to 622.64, 860.32 and 512.04

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Solution

The fourth proportional to 622.64, 860.32 and 512.04 is: 707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.64 : 860.32 = 512.04 : x
  2. Step 2: Convert to fraction form
    622.64/860.32 = 512.04/x
  3. Step 3: Cross multiply
    622.64x = 860.32 × 512.04
  4. Step 4: Simplify right side
    622.64x = 440,518.25
  5. Step 5: Solve for x
    x = 440,518.25/622.64
  6. Step 6: Final answer
    x = 707.50

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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.