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Finding the Fourth Proportional to 1,050.63, 1,574.69 and 434.17

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Solution

The fourth proportional to 1,050.63, 1,574.69 and 434.17 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.63 : 1,574.69 = 434.17 : x
  2. Step 2: Convert to fraction form
    1,050.63/1,574.69 = 434.17/x
  3. Step 3: Cross multiply
    1,050.63x = 1,574.69 × 434.17
  4. Step 4: Simplify right side
    1,050.63x = 683,680.97
  5. Step 5: Solve for x
    x = 683,680.97/1,050.63
  6. Step 6: Final answer
    x = 650.73

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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.