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Finding the Fourth Proportional to 523.06, 782.99 and 429.65

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Solution

The fourth proportional to 523.06, 782.99 and 429.65 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 782.99 = 429.65 : x
  2. Step 2: Convert to fraction form
    523.06/782.99 = 429.65/x
  3. Step 3: Cross multiply
    523.06x = 782.99 × 429.65
  4. Step 4: Simplify right side
    523.06x = 336,415.75
  5. Step 5: Solve for x
    x = 336,415.75/523.06
  6. Step 6: Final answer
    x = 643.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.