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Finding the Fourth Proportional to 623.66, 934.47 and 348.86

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Solution

The fourth proportional to 623.66, 934.47 and 348.86 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.66 : 934.47 = 348.86 : x
  2. Step 2: Convert to fraction form
    623.66/934.47 = 348.86/x
  3. Step 3: Cross multiply
    623.66x = 934.47 × 348.86
  4. Step 4: Simplify right side
    623.66x = 326,001.54
  5. Step 5: Solve for x
    x = 326,001.54/623.66
  6. Step 6: Final answer
    x = 522.73

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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.