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Finding the Fourth Proportional to 1,146.02, 1,581.54 and 673.95

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Solution

The fourth proportional to 1,146.02, 1,581.54 and 673.95 is: 930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.02 : 1,581.54 = 673.95 : x
  2. Step 2: Convert to fraction form
    1,146.02/1,581.54 = 673.95/x
  3. Step 3: Cross multiply
    1,146.02x = 1,581.54 × 673.95
  4. Step 4: Simplify right side
    1,146.02x = 1,065,878.88
  5. Step 5: Solve for x
    x = 1,065,878.88/1,146.02
  6. Step 6: Final answer
    x = 930.07

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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.