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Finding the Fourth Proportional to 1,303.77, 1,954.43 and 437.48

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Solution

The fourth proportional to 1,303.77, 1,954.43 and 437.48 is: 655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.77 : 1,954.43 = 437.48 : x
  2. Step 2: Convert to fraction form
    1,303.77/1,954.43 = 437.48/x
  3. Step 3: Cross multiply
    1,303.77x = 1,954.43 × 437.48
  4. Step 4: Simplify right side
    1,303.77x = 855,014.26
  5. Step 5: Solve for x
    x = 855,014.26/1,303.77
  6. Step 6: Final answer
    x = 655.80

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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.