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Finding the Fourth Proportional to 1,298.58, 1,945.67 and 784.50

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Solution

The fourth proportional to 1,298.58, 1,945.67 and 784.50 is: 1,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.58 : 1,945.67 = 784.50 : x
  2. Step 2: Convert to fraction form
    1,298.58/1,945.67 = 784.50/x
  3. Step 3: Cross multiply
    1,298.58x = 1,945.67 × 784.50
  4. Step 4: Simplify right side
    1,298.58x = 1,526,378.12
  5. Step 5: Solve for x
    x = 1,526,378.12/1,298.58
  6. Step 6: Final answer
    x = 1,175.42

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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.