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Finding the Fourth Proportional to 522.36, 783.72 and 407.16

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Solution

The fourth proportional to 522.36, 783.72 and 407.16 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 783.72 = 407.16 : x
  2. Step 2: Convert to fraction form
    522.36/783.72 = 407.16/x
  3. Step 3: Cross multiply
    522.36x = 783.72 × 407.16
  4. Step 4: Simplify right side
    522.36x = 319,099.44
  5. Step 5: Solve for x
    x = 319,099.44/522.36
  6. Step 6: Final answer
    x = 610.88

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Why These Related Problems?

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