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Finding the Fourth Proportional to 942.24, 1,418.70 and 655.50

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Solution

The fourth proportional to 942.24, 1,418.70 and 655.50 is: 986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.24 : 1,418.70 = 655.50 : x
  2. Step 2: Convert to fraction form
    942.24/1,418.70 = 655.50/x
  3. Step 3: Cross multiply
    942.24x = 1,418.70 × 655.50
  4. Step 4: Simplify right side
    942.24x = 929,957.85
  5. Step 5: Solve for x
    x = 929,957.85/942.24
  6. Step 6: Final answer
    x = 986.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.