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Finding the Fourth Proportional to 1,652.27, 2,279.27 and 988.93

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Solution

The fourth proportional to 1,652.27, 2,279.27 and 988.93 is: 1,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.27 : 2,279.27 = 988.93 : x
  2. Step 2: Convert to fraction form
    1,652.27/2,279.27 = 988.93/x
  3. Step 3: Cross multiply
    1,652.27x = 2,279.27 × 988.93
  4. Step 4: Simplify right side
    1,652.27x = 2,254,022.14
  5. Step 5: Solve for x
    x = 2,254,022.14/1,652.27
  6. Step 6: Final answer
    x = 1,364.20

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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.