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Finding the Fourth Proportional to 1,018.66, 1,405.78 and 576.63

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Solution

The fourth proportional to 1,018.66, 1,405.78 and 576.63 is: 795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.66 : 1,405.78 = 576.63 : x
  2. Step 2: Convert to fraction form
    1,018.66/1,405.78 = 576.63/x
  3. Step 3: Cross multiply
    1,018.66x = 1,405.78 × 576.63
  4. Step 4: Simplify right side
    1,018.66x = 810,613.48
  5. Step 5: Solve for x
    x = 810,613.48/1,018.66
  6. Step 6: Final answer
    x = 795.77

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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.