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Finding the Fourth Proportional to 1,019.53, 1,529.45 and 370.11

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Solution

The fourth proportional to 1,019.53, 1,529.45 and 370.11 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.53 : 1,529.45 = 370.11 : x
  2. Step 2: Convert to fraction form
    1,019.53/1,529.45 = 370.11/x
  3. Step 3: Cross multiply
    1,019.53x = 1,529.45 × 370.11
  4. Step 4: Simplify right side
    1,019.53x = 566,062.89
  5. Step 5: Solve for x
    x = 566,062.89/1,019.53
  6. Step 6: Final answer
    x = 555.22

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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.