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Finding the Fourth Proportional to 1,302.63, 1,954.49 and 437.01

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Solution

The fourth proportional to 1,302.63, 1,954.49 and 437.01 is: 655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.63 : 1,954.49 = 437.01 : x
  2. Step 2: Convert to fraction form
    1,302.63/1,954.49 = 437.01/x
  3. Step 3: Cross multiply
    1,302.63x = 1,954.49 × 437.01
  4. Step 4: Simplify right side
    1,302.63x = 854,129.49
  5. Step 5: Solve for x
    x = 854,129.49/1,302.63
  6. Step 6: Final answer
    x = 655.70

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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.