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Finding the Fourth Proportional to 1,019.85, 1,528.85 and 370.13

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Solution

The fourth proportional to 1,019.85, 1,528.85 and 370.13 is: 554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.85 : 1,528.85 = 370.13 : x
  2. Step 2: Convert to fraction form
    1,019.85/1,528.85 = 370.13/x
  3. Step 3: Cross multiply
    1,019.85x = 1,528.85 × 370.13
  4. Step 4: Simplify right side
    1,019.85x = 565,866.53
  5. Step 5: Solve for x
    x = 565,866.53/1,019.85
  6. Step 6: Final answer
    x = 554.85

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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.