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Finding the Fourth Proportional to 1,303.04, 1,958.08 and 1,220

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Solution

The fourth proportional to 1,303.04, 1,958.08 and 1,220 is: 1,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.04 : 1,958.08 = 1,220 : x
  2. Step 2: Convert to fraction form
    1,303.04/1,958.08 = 1,220/x
  3. Step 3: Cross multiply
    1,303.04x = 1,958.08 × 1,220
  4. Step 4: Simplify right side
    1,303.04x = 2,388,857.60
  5. Step 5: Solve for x
    x = 2,388,857.60/1,303.04
  6. Step 6: Final answer
    x = 1,833.30

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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.