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Finding the Fourth Proportional to 1,070.28, 1,605.42 and 705.31

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Solution

The fourth proportional to 1,070.28, 1,605.42 and 705.31 is: 1,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.28 : 1,605.42 = 705.31 : x
  2. Step 2: Convert to fraction form
    1,070.28/1,605.42 = 705.31/x
  3. Step 3: Cross multiply
    1,070.28x = 1,605.42 × 705.31
  4. Step 4: Simplify right side
    1,070.28x = 1,132,314.77
  5. Step 5: Solve for x
    x = 1,132,314.77/1,070.28
  6. Step 6: Final answer
    x = 1,057.96

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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.