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Finding the Fourth Proportional to 942.23, 1,412.98 and 283.91

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Solution

The fourth proportional to 942.23, 1,412.98 and 283.91 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.23 : 1,412.98 = 283.91 : x
  2. Step 2: Convert to fraction form
    942.23/1,412.98 = 283.91/x
  3. Step 3: Cross multiply
    942.23x = 1,412.98 × 283.91
  4. Step 4: Simplify right side
    942.23x = 401,151.38
  5. Step 5: Solve for x
    x = 401,151.38/942.23
  6. Step 6: Final answer
    x = 425.75

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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.