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Finding the Fourth Proportional to 1,020.87, 1,405.35 and 922.32

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Solution

The fourth proportional to 1,020.87, 1,405.35 and 922.32 is: 1,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.87 : 1,405.35 = 922.32 : x
  2. Step 2: Convert to fraction form
    1,020.87/1,405.35 = 922.32/x
  3. Step 3: Cross multiply
    1,020.87x = 1,405.35 × 922.32
  4. Step 4: Simplify right side
    1,020.87x = 1,296,182.41
  5. Step 5: Solve for x
    x = 1,296,182.41/1,020.87
  6. Step 6: Final answer
    x = 1,269.68

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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.