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Finding the Fourth Proportional to 1,355.40, 1,869.75 and 824.04

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Solution

The fourth proportional to 1,355.40, 1,869.75 and 824.04 is: 1,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.40 : 1,869.75 = 824.04 : x
  2. Step 2: Convert to fraction form
    1,355.40/1,869.75 = 824.04/x
  3. Step 3: Cross multiply
    1,355.40x = 1,869.75 × 824.04
  4. Step 4: Simplify right side
    1,355.40x = 1,540,748.79
  5. Step 5: Solve for x
    x = 1,540,748.79/1,355.40
  6. Step 6: Final answer
    x = 1,136.75

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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.