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Finding the Fourth Proportional to 1,050.67, 1,576.32 and 705.34

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Solution

The fourth proportional to 1,050.67, 1,576.32 and 705.34 is: 1,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.67 : 1,576.32 = 705.34 : x
  2. Step 2: Convert to fraction form
    1,050.67/1,576.32 = 705.34/x
  3. Step 3: Cross multiply
    1,050.67x = 1,576.32 × 705.34
  4. Step 4: Simplify right side
    1,050.67x = 1,111,841.55
  5. Step 5: Solve for x
    x = 1,111,841.55/1,050.67
  6. Step 6: Final answer
    x = 1,058.22

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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.