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Finding the Fourth Proportional to 1,116.49, 1,673.70 and 385.89

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Solution

The fourth proportional to 1,116.49, 1,673.70 and 385.89 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.49 : 1,673.70 = 385.89 : x
  2. Step 2: Convert to fraction form
    1,116.49/1,673.70 = 385.89/x
  3. Step 3: Cross multiply
    1,116.49x = 1,673.70 × 385.89
  4. Step 4: Simplify right side
    1,116.49x = 645,864.09
  5. Step 5: Solve for x
    x = 645,864.09/1,116.49
  6. Step 6: Final answer
    x = 578.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.