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Finding the Fourth Proportional to 1,055.09, 1,455.75 and 705.84

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Solution

The fourth proportional to 1,055.09, 1,455.75 and 705.84 is: 973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.09 : 1,455.75 = 705.84 : x
  2. Step 2: Convert to fraction form
    1,055.09/1,455.75 = 705.84/x
  3. Step 3: Cross multiply
    1,055.09x = 1,455.75 × 705.84
  4. Step 4: Simplify right side
    1,055.09x = 1,027,526.58
  5. Step 5: Solve for x
    x = 1,027,526.58/1,055.09
  6. Step 6: Final answer
    x = 973.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.