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Finding the Fourth Proportional to 523.62, 783.36 and 462.06

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Solution

The fourth proportional to 523.62, 783.36 and 462.06 is: 691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 783.36 = 462.06 : x
  2. Step 2: Convert to fraction form
    523.62/783.36 = 462.06/x
  3. Step 3: Cross multiply
    523.62x = 783.36 × 462.06
  4. Step 4: Simplify right side
    523.62x = 361,959.32
  5. Step 5: Solve for x
    x = 361,959.32/523.62
  6. Step 6: Final answer
    x = 691.26

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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.