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Finding the Fourth Proportional to 1,050.29, 1,574.72 and 433.81

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Solution

The fourth proportional to 1,050.29, 1,574.72 and 433.81 is: 650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.29 : 1,574.72 = 433.81 : x
  2. Step 2: Convert to fraction form
    1,050.29/1,574.72 = 433.81/x
  3. Step 3: Cross multiply
    1,050.29x = 1,574.72 × 433.81
  4. Step 4: Simplify right side
    1,050.29x = 683,129.28
  5. Step 5: Solve for x
    x = 683,129.28/1,050.29
  6. Step 6: Final answer
    x = 650.42

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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.