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Finding the Fourth Proportional to 1,005.33, 1,386.93 and 673.86

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Solution

The fourth proportional to 1,005.33, 1,386.93 and 673.86 is: 929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.33 : 1,386.93 = 673.86 : x
  2. Step 2: Convert to fraction form
    1,005.33/1,386.93 = 673.86/x
  3. Step 3: Cross multiply
    1,005.33x = 1,386.93 × 673.86
  4. Step 4: Simplify right side
    1,005.33x = 934,596.65
  5. Step 5: Solve for x
    x = 934,596.65/1,005.33
  6. Step 6: Final answer
    x = 929.64

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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.