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Finding the Fourth Proportional to 883.84, 1,323.84 and 738.40

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Solution

The fourth proportional to 883.84, 1,323.84 and 738.40 is: 1,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.84 : 1,323.84 = 738.40 : x
  2. Step 2: Convert to fraction form
    883.84/1,323.84 = 738.40/x
  3. Step 3: Cross multiply
    883.84x = 1,323.84 × 738.40
  4. Step 4: Simplify right side
    883.84x = 977,523.46
  5. Step 5: Solve for x
    x = 977,523.46/883.84
  6. Step 6: Final answer
    x = 1,106.00

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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.