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Finding the Fourth Proportional to 1,303.35, 1,953.66 and 481.10

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Solution

The fourth proportional to 1,303.35, 1,953.66 and 481.10 is: 721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.35 : 1,953.66 = 481.10 : x
  2. Step 2: Convert to fraction form
    1,303.35/1,953.66 = 481.10/x
  3. Step 3: Cross multiply
    1,303.35x = 1,953.66 × 481.10
  4. Step 4: Simplify right side
    1,303.35x = 939,905.83
  5. Step 5: Solve for x
    x = 939,905.83/1,303.35
  6. Step 6: Final answer
    x = 721.15

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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.