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Finding the Fourth Proportional to 869.03, 1,303.95 and 407.33

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Solution

The fourth proportional to 869.03, 1,303.95 and 407.33 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.03 : 1,303.95 = 407.33 : x
  2. Step 2: Convert to fraction form
    869.03/1,303.95 = 407.33/x
  3. Step 3: Cross multiply
    869.03x = 1,303.95 × 407.33
  4. Step 4: Simplify right side
    869.03x = 531,131.43
  5. Step 5: Solve for x
    x = 531,131.43/869.03
  6. Step 6: Final answer
    x = 611.18

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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.