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Finding the Fourth Proportional to 623.00, 934.61 and 257.59

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Solution

The fourth proportional to 623.00, 934.61 and 257.59 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.00 : 934.61 = 257.59 : x
  2. Step 2: Convert to fraction form
    623.00/934.61 = 257.59/x
  3. Step 3: Cross multiply
    623.00x = 934.61 × 257.59
  4. Step 4: Simplify right side
    623.00x = 240,740.23
  5. Step 5: Solve for x
    x = 240,740.23/623.00
  6. Step 6: Final answer
    x = 386.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.