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Finding the Fourth Proportional to 1,021.52, 1,409.28 and 711.20

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Solution

The fourth proportional to 1,021.52, 1,409.28 and 711.20 is: 981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.52 : 1,409.28 = 711.20 : x
  2. Step 2: Convert to fraction form
    1,021.52/1,409.28 = 711.20/x
  3. Step 3: Cross multiply
    1,021.52x = 1,409.28 × 711.20
  4. Step 4: Simplify right side
    1,021.52x = 1,002,279.94
  5. Step 5: Solve for x
    x = 1,002,279.94/1,021.52
  6. Step 6: Final answer
    x = 981.17

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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.