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Finding the Fourth Proportional to 1,071.70, 1,607.55 and 378.52

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Solution

The fourth proportional to 1,071.70, 1,607.55 and 378.52 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.70 : 1,607.55 = 378.52 : x
  2. Step 2: Convert to fraction form
    1,071.70/1,607.55 = 378.52/x
  3. Step 3: Cross multiply
    1,071.70x = 1,607.55 × 378.52
  4. Step 4: Simplify right side
    1,071.70x = 608,489.83
  5. Step 5: Solve for x
    x = 608,489.83/1,071.70
  6. Step 6: Final answer
    x = 567.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.