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Finding the Fourth Proportional to 942.23, 1,412.34 and 612.77

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Solution

The fourth proportional to 942.23, 1,412.34 and 612.77 is: 918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.23 : 1,412.34 = 612.77 : x
  2. Step 2: Convert to fraction form
    942.23/1,412.34 = 612.77/x
  3. Step 3: Cross multiply
    942.23x = 1,412.34 × 612.77
  4. Step 4: Simplify right side
    942.23x = 865,430.22
  5. Step 5: Solve for x
    x = 865,430.22/942.23
  6. Step 6: Final answer
    x = 918.49

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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.