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Finding the Fourth Proportional to 1,018.34, 1,405.29 and 576.23

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Solution

The fourth proportional to 1,018.34, 1,405.29 and 576.23 is: 795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.34 : 1,405.29 = 576.23 : x
  2. Step 2: Convert to fraction form
    1,018.34/1,405.29 = 576.23/x
  3. Step 3: Cross multiply
    1,018.34x = 1,405.29 × 576.23
  4. Step 4: Simplify right side
    1,018.34x = 809,763.23
  5. Step 5: Solve for x
    x = 809,763.23/1,018.34
  6. Step 6: Final answer
    x = 795.18

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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.