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Finding the Fourth Proportional to 623.38, 858.86 and 513.12

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Solution

The fourth proportional to 623.38, 858.86 and 513.12 is: 706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.38 : 858.86 = 513.12 : x
  2. Step 2: Convert to fraction form
    623.38/858.86 = 513.12/x
  3. Step 3: Cross multiply
    623.38x = 858.86 × 513.12
  4. Step 4: Simplify right side
    623.38x = 440,698.24
  5. Step 5: Solve for x
    x = 440,698.24/623.38
  6. Step 6: Final answer
    x = 706.95

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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.