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Finding the Fourth Proportional to 1,308, 1,800.72 and 1,160.04

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Solution

The fourth proportional to 1,308, 1,800.72 and 1,160.04 is: 1,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308 : 1,800.72 = 1,160.04 : x
  2. Step 2: Convert to fraction form
    1,308/1,800.72 = 1,160.04/x
  3. Step 3: Cross multiply
    1,308x = 1,800.72 × 1,160.04
  4. Step 4: Simplify right side
    1,308x = 2,088,907.23
  5. Step 5: Solve for x
    x = 2,088,907.23/1,308
  6. Step 6: Final answer
    x = 1,597.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.