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Finding the Fourth Proportional to 522.58, 783.74 and 214.38

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Solution

The fourth proportional to 522.58, 783.74 and 214.38 is: 321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.58 : 783.74 = 214.38 : x
  2. Step 2: Convert to fraction form
    522.58/783.74 = 214.38/x
  3. Step 3: Cross multiply
    522.58x = 783.74 × 214.38
  4. Step 4: Simplify right side
    522.58x = 168,018.18
  5. Step 5: Solve for x
    x = 168,018.18/522.58
  6. Step 6: Final answer
    x = 321.52

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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.