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Finding the Fourth Proportional to 1,021.76, 1,409.88 and 602.12

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Solution

The fourth proportional to 1,021.76, 1,409.88 and 602.12 is: 830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.76 : 1,409.88 = 602.12 : x
  2. Step 2: Convert to fraction form
    1,021.76/1,409.88 = 602.12/x
  3. Step 3: Cross multiply
    1,021.76x = 1,409.88 × 602.12
  4. Step 4: Simplify right side
    1,021.76x = 848,916.95
  5. Step 5: Solve for x
    x = 848,916.95/1,021.76
  6. Step 6: Final answer
    x = 830.84

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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.