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Finding the Fourth Proportional to 1,178.54, 1,625.46 and 824.34

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Solution

The fourth proportional to 1,178.54, 1,625.46 and 824.34 is: 1,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.54 : 1,625.46 = 824.34 : x
  2. Step 2: Convert to fraction form
    1,178.54/1,625.46 = 824.34/x
  3. Step 3: Cross multiply
    1,178.54x = 1,625.46 × 824.34
  4. Step 4: Simplify right side
    1,178.54x = 1,339,931.70
  5. Step 5: Solve for x
    x = 1,339,931.70/1,178.54
  6. Step 6: Final answer
    x = 1,136.94

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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.