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Finding the Fourth Proportional to 1,005.79, 1,386.24 and 818.89

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Solution

The fourth proportional to 1,005.79, 1,386.24 and 818.89 is: 1,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.79 : 1,386.24 = 818.89 : x
  2. Step 2: Convert to fraction form
    1,005.79/1,386.24 = 818.89/x
  3. Step 3: Cross multiply
    1,005.79x = 1,386.24 × 818.89
  4. Step 4: Simplify right side
    1,005.79x = 1,135,178.07
  5. Step 5: Solve for x
    x = 1,135,178.07/1,005.79
  6. Step 6: Final answer
    x = 1,128.64

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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.