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Finding the Fourth Proportional to 1,304.79, 1,800.72 and 780.99

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Solution

The fourth proportional to 1,304.79, 1,800.72 and 780.99 is: 1,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.79 : 1,800.72 = 780.99 : x
  2. Step 2: Convert to fraction form
    1,304.79/1,800.72 = 780.99/x
  3. Step 3: Cross multiply
    1,304.79x = 1,800.72 × 780.99
  4. Step 4: Simplify right side
    1,304.79x = 1,406,344.31
  5. Step 5: Solve for x
    x = 1,406,344.31/1,304.79
  6. Step 6: Final answer
    x = 1,077.83

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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.