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Finding the Fourth Proportional to 522.02, 779.37 and 430.90

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Solution

The fourth proportional to 522.02, 779.37 and 430.90 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.02 : 779.37 = 430.90 : x
  2. Step 2: Convert to fraction form
    522.02/779.37 = 430.90/x
  3. Step 3: Cross multiply
    522.02x = 779.37 × 430.90
  4. Step 4: Simplify right side
    522.02x = 335,830.53
  5. Step 5: Solve for x
    x = 335,830.53/522.02
  6. Step 6: Final answer
    x = 643.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.