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Finding the Fourth Proportional to 1,050.44, 1,575.32 and 434.04

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Solution

The fourth proportional to 1,050.44, 1,575.32 and 434.04 is: 650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.44 : 1,575.32 = 434.04 : x
  2. Step 2: Convert to fraction form
    1,050.44/1,575.32 = 434.04/x
  3. Step 3: Cross multiply
    1,050.44x = 1,575.32 × 434.04
  4. Step 4: Simplify right side
    1,050.44x = 683,751.89
  5. Step 5: Solve for x
    x = 683,751.89/1,050.44
  6. Step 6: Final answer
    x = 650.92

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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.