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Finding the Fourth Proportional to 1,005.63, 1,386.90 and 673.80

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Solution

The fourth proportional to 1,005.63, 1,386.90 and 673.80 is: 929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.63 : 1,386.90 = 673.80 : x
  2. Step 2: Convert to fraction form
    1,005.63/1,386.90 = 673.80/x
  3. Step 3: Cross multiply
    1,005.63x = 1,386.90 × 673.80
  4. Step 4: Simplify right side
    1,005.63x = 934,493.22
  5. Step 5: Solve for x
    x = 934,493.22/1,005.63
  6. Step 6: Final answer
    x = 929.26

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1.5x scale

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.