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Finding the Fourth Proportional to 1,071.37, 1,607.05 and 637.21

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Solution

The fourth proportional to 1,071.37, 1,607.05 and 637.21 is: 955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.37 : 1,607.05 = 637.21 : x
  2. Step 2: Convert to fraction form
    1,071.37/1,607.05 = 637.21/x
  3. Step 3: Cross multiply
    1,071.37x = 1,607.05 × 637.21
  4. Step 4: Simplify right side
    1,071.37x = 1,024,020.30
  5. Step 5: Solve for x
    x = 1,024,020.30/1,071.37
  6. Step 6: Final answer
    x = 955.81

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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.