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Finding the Fourth Proportional to 899.55, 1,241.40 and 506.55

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Solution

The fourth proportional to 899.55, 1,241.40 and 506.55 is: 699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.55 : 1,241.40 = 506.55 : x
  2. Step 2: Convert to fraction form
    899.55/1,241.40 = 506.55/x
  3. Step 3: Cross multiply
    899.55x = 1,241.40 × 506.55
  4. Step 4: Simplify right side
    899.55x = 628,831.17
  5. Step 5: Solve for x
    x = 628,831.17/899.55
  6. Step 6: Final answer
    x = 699.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.