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Finding the Fourth Proportional to 942.79, 1,301.02 and 549.78

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Solution

The fourth proportional to 942.79, 1,301.02 and 549.78 is: 758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.79 : 1,301.02 = 549.78 : x
  2. Step 2: Convert to fraction form
    942.79/1,301.02 = 549.78/x
  3. Step 3: Cross multiply
    942.79x = 1,301.02 × 549.78
  4. Step 4: Simplify right side
    942.79x = 715,274.78
  5. Step 5: Solve for x
    x = 715,274.78/942.79
  6. Step 6: Final answer
    x = 758.68

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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.