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Finding the Fourth Proportional to 1,368.56, 2,051.42 and 637.53

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Solution

The fourth proportional to 1,368.56, 2,051.42 and 637.53 is: 955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.56 : 2,051.42 = 637.53 : x
  2. Step 2: Convert to fraction form
    1,368.56/2,051.42 = 637.53/x
  3. Step 3: Cross multiply
    1,368.56x = 2,051.42 × 637.53
  4. Step 4: Simplify right side
    1,368.56x = 1,307,838.60
  5. Step 5: Solve for x
    x = 1,307,838.60/1,368.56
  6. Step 6: Final answer
    x = 955.63

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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.