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Finding the Fourth Proportional to 942.81, 1,301.54 and 663.29

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Solution

The fourth proportional to 942.81, 1,301.54 and 663.29 is: 915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.81 : 1,301.54 = 663.29 : x
  2. Step 2: Convert to fraction form
    942.81/1,301.54 = 663.29/x
  3. Step 3: Cross multiply
    942.81x = 1,301.54 × 663.29
  4. Step 4: Simplify right side
    942.81x = 863,288.64
  5. Step 5: Solve for x
    x = 863,288.64/942.81
  6. Step 6: Final answer
    x = 915.65

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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.