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Finding the Fourth Proportional to 813.84, 1,121.76 and 783.60

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Solution

The fourth proportional to 813.84, 1,121.76 and 783.60 is: 1,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,121.76 = 783.60 : x
  2. Step 2: Convert to fraction form
    813.84/1,121.76 = 783.60/x
  3. Step 3: Cross multiply
    813.84x = 1,121.76 × 783.60
  4. Step 4: Simplify right side
    813.84x = 879,011.14
  5. Step 5: Solve for x
    x = 879,011.14/813.84
  6. Step 6: Final answer
    x = 1,080.08

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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.