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Finding the Fourth Proportional to 922.84, 1,270.79 and 824.56

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Solution

The fourth proportional to 922.84, 1,270.79 and 824.56 is: 1,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.84 : 1,270.79 = 824.56 : x
  2. Step 2: Convert to fraction form
    922.84/1,270.79 = 824.56/x
  3. Step 3: Cross multiply
    922.84x = 1,270.79 × 824.56
  4. Step 4: Simplify right side
    922.84x = 1,047,838.39
  5. Step 5: Solve for x
    x = 1,047,838.39/922.84
  6. Step 6: Final answer
    x = 1,135.45

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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.