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Finding the Fourth Proportional to 868.51, 1,303.54 and 406.55

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Solution

The fourth proportional to 868.51, 1,303.54 and 406.55 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.51 : 1,303.54 = 406.55 : x
  2. Step 2: Convert to fraction form
    868.51/1,303.54 = 406.55/x
  3. Step 3: Cross multiply
    868.51x = 1,303.54 × 406.55
  4. Step 4: Simplify right side
    868.51x = 529,954.19
  5. Step 5: Solve for x
    x = 529,954.19/868.51
  6. Step 6: Final answer
    x = 610.19

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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.