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Finding the Fourth Proportional to 522.58, 786.93 and 386.58

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Solution

The fourth proportional to 522.58, 786.93 and 386.58 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.58 : 786.93 = 386.58 : x
  2. Step 2: Convert to fraction form
    522.58/786.93 = 386.58/x
  3. Step 3: Cross multiply
    522.58x = 786.93 × 386.58
  4. Step 4: Simplify right side
    522.58x = 304,212.90
  5. Step 5: Solve for x
    x = 304,212.90/522.58
  6. Step 6: Final answer
    x = 582.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.