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Finding the Fourth Proportional to 522.63, 783.95 and 157.42

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Solution

The fourth proportional to 522.63, 783.95 and 157.42 is: 236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 783.95 = 157.42 : x
  2. Step 2: Convert to fraction form
    522.63/783.95 = 157.42/x
  3. Step 3: Cross multiply
    522.63x = 783.95 × 157.42
  4. Step 4: Simplify right side
    522.63x = 123,409.41
  5. Step 5: Solve for x
    x = 123,409.41/522.63
  6. Step 6: Final answer
    x = 236.13

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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.