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Finding the Fourth Proportional to 1,303.01, 1,953.09 and 480.59

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Solution

The fourth proportional to 1,303.01, 1,953.09 and 480.59 is: 720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.01 : 1,953.09 = 480.59 : x
  2. Step 2: Convert to fraction form
    1,303.01/1,953.09 = 480.59/x
  3. Step 3: Cross multiply
    1,303.01x = 1,953.09 × 480.59
  4. Step 4: Simplify right side
    1,303.01x = 938,625.76
  5. Step 5: Solve for x
    x = 938,625.76/1,303.01
  6. Step 6: Final answer
    x = 720.35

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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.