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Finding the Fourth Proportional to 942.85, 1,412.43 and 617.23

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Solution

The fourth proportional to 942.85, 1,412.43 and 617.23 is: 924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.85 : 1,412.43 = 617.23 : x
  2. Step 2: Convert to fraction form
    942.85/1,412.43 = 617.23/x
  3. Step 3: Cross multiply
    942.85x = 1,412.43 × 617.23
  4. Step 4: Simplify right side
    942.85x = 871,794.17
  5. Step 5: Solve for x
    x = 871,794.17/942.85
  6. Step 6: Final answer
    x = 924.64

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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.