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Finding the Fourth Proportional to 1,070.12, 1,605.78 and 705.08

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Solution

The fourth proportional to 1,070.12, 1,605.78 and 705.08 is: 1,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.12 : 1,605.78 = 705.08 : x
  2. Step 2: Convert to fraction form
    1,070.12/1,605.78 = 705.08/x
  3. Step 3: Cross multiply
    1,070.12x = 1,605.78 × 705.08
  4. Step 4: Simplify right side
    1,070.12x = 1,132,195.33
  5. Step 5: Solve for x
    x = 1,132,195.33/1,070.12
  6. Step 6: Final answer
    x = 1,058.01

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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.