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Finding the Fourth Proportional to 942.49, 1,300.62 and 522.83

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Solution

The fourth proportional to 942.49, 1,300.62 and 522.83 is: 721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.49 : 1,300.62 = 522.83 : x
  2. Step 2: Convert to fraction form
    942.49/1,300.62 = 522.83/x
  3. Step 3: Cross multiply
    942.49x = 1,300.62 × 522.83
  4. Step 4: Simplify right side
    942.49x = 680,007.71
  5. Step 5: Solve for x
    x = 680,007.71/942.49
  6. Step 6: Final answer
    x = 721.50

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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.