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Finding the Fourth Proportional to 522.02, 786.06 and 386.01

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Solution

The fourth proportional to 522.02, 786.06 and 386.01 is: 581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.02 : 786.06 = 386.01 : x
  2. Step 2: Convert to fraction form
    522.02/786.06 = 386.01/x
  3. Step 3: Cross multiply
    522.02x = 786.06 × 386.01
  4. Step 4: Simplify right side
    522.02x = 303,427.02
  5. Step 5: Solve for x
    x = 303,427.02/522.02
  6. Step 6: Final answer
    x = 581.25

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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.