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Finding the Fourth Proportional to 523.14, 783.45 and 306.06

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Solution

The fourth proportional to 523.14, 783.45 and 306.06 is: 458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 783.45 = 306.06 : x
  2. Step 2: Convert to fraction form
    523.14/783.45 = 306.06/x
  3. Step 3: Cross multiply
    523.14x = 783.45 × 306.06
  4. Step 4: Simplify right side
    523.14x = 239,782.71
  5. Step 5: Solve for x
    x = 239,782.71/523.14
  6. Step 6: Final answer
    x = 458.35

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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.