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Finding the Fourth Proportional to 1,308.53, 1,962.40 and 475.49

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Solution

The fourth proportional to 1,308.53, 1,962.40 and 475.49 is: 713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.53 : 1,962.40 = 475.49 : x
  2. Step 2: Convert to fraction form
    1,308.53/1,962.40 = 475.49/x
  3. Step 3: Cross multiply
    1,308.53x = 1,962.40 × 475.49
  4. Step 4: Simplify right side
    1,308.53x = 933,090.58
  5. Step 5: Solve for x
    x = 933,090.58/1,308.53
  6. Step 6: Final answer
    x = 713.08

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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.