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Finding the Fourth Proportional to 1,503.45, 2,255.18 and 407.81

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Solution

The fourth proportional to 1,503.45, 2,255.18 and 407.81 is: 611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.45 : 2,255.18 = 407.81 : x
  2. Step 2: Convert to fraction form
    1,503.45/2,255.18 = 407.81/x
  3. Step 3: Cross multiply
    1,503.45x = 2,255.18 × 407.81
  4. Step 4: Simplify right side
    1,503.45x = 919,688.55
  5. Step 5: Solve for x
    x = 919,688.55/1,503.45
  6. Step 6: Final answer
    x = 611.72

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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.