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Finding the Fourth Proportional to 1,097.28, 1,647.84 and 584.64

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Solution

The fourth proportional to 1,097.28, 1,647.84 and 584.64 is: 877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.28 : 1,647.84 = 584.64 : x
  2. Step 2: Convert to fraction form
    1,097.28/1,647.84 = 584.64/x
  3. Step 3: Cross multiply
    1,097.28x = 1,647.84 × 584.64
  4. Step 4: Simplify right side
    1,097.28x = 963,393.18
  5. Step 5: Solve for x
    x = 963,393.18/1,097.28
  6. Step 6: Final answer
    x = 877.98

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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.