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Finding the Fourth Proportional to 942.09, 1,300.10 and 522.42

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Solution

The fourth proportional to 942.09, 1,300.10 and 522.42 is: 720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.09 : 1,300.10 = 522.42 : x
  2. Step 2: Convert to fraction form
    942.09/1,300.10 = 522.42/x
  3. Step 3: Cross multiply
    942.09x = 1,300.10 × 522.42
  4. Step 4: Simplify right side
    942.09x = 679,195.63
  5. Step 5: Solve for x
    x = 679,195.63/942.09
  6. Step 6: Final answer
    x = 720.95

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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.