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Finding the Fourth Proportional to 622.93, 858.45 and 512.05

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Solution

The fourth proportional to 622.93, 858.45 and 512.05 is: 705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.93 : 858.45 = 512.05 : x
  2. Step 2: Convert to fraction form
    622.93/858.45 = 512.05/x
  3. Step 3: Cross multiply
    622.93x = 858.45 × 512.05
  4. Step 4: Simplify right side
    622.93x = 439,569.32
  5. Step 5: Solve for x
    x = 439,569.32/622.93
  6. Step 6: Final answer
    x = 705.65

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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.