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Finding the Fourth Proportional to 522.56, 719.60 and 467.28

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Solution

The fourth proportional to 522.56, 719.60 and 467.28 is: 643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 719.60 = 467.28 : x
  2. Step 2: Convert to fraction form
    522.56/719.60 = 467.28/x
  3. Step 3: Cross multiply
    522.56x = 719.60 × 467.28
  4. Step 4: Simplify right side
    522.56x = 336,252.35
  5. Step 5: Solve for x
    x = 336,252.35/522.56
  6. Step 6: Final answer
    x = 643.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.