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Finding the Fourth Proportional to 903.40, 1,246.56 and 505.01

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Solution

The fourth proportional to 903.40, 1,246.56 and 505.01 is: 696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.40 : 1,246.56 = 505.01 : x
  2. Step 2: Convert to fraction form
    903.40/1,246.56 = 505.01/x
  3. Step 3: Cross multiply
    903.40x = 1,246.56 × 505.01
  4. Step 4: Simplify right side
    903.40x = 629,525.27
  5. Step 5: Solve for x
    x = 629,525.27/903.40
  6. Step 6: Final answer
    x = 696.84

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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.