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Finding the Fourth Proportional to 942.98, 1,300.66 and 663.80

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Solution

The fourth proportional to 942.98, 1,300.66 and 663.80 is: 915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.98 : 1,300.66 = 663.80 : x
  2. Step 2: Convert to fraction form
    942.98/1,300.66 = 663.80/x
  3. Step 3: Cross multiply
    942.98x = 1,300.66 × 663.80
  4. Step 4: Simplify right side
    942.98x = 863,369.95
  5. Step 5: Solve for x
    x = 863,369.95/942.98
  6. Step 6: Final answer
    x = 915.58

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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.