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Finding the Fourth Proportional to 623.47, 935.94 and 349.78

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Solution

The fourth proportional to 623.47, 935.94 and 349.78 is: 525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.47 : 935.94 = 349.78 : x
  2. Step 2: Convert to fraction form
    623.47/935.94 = 349.78/x
  3. Step 3: Cross multiply
    623.47x = 935.94 × 349.78
  4. Step 4: Simplify right side
    623.47x = 327,373.09
  5. Step 5: Solve for x
    x = 327,373.09/623.47
  6. Step 6: Final answer
    x = 525.08

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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.