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Finding the Fourth Proportional to 1,150.19, 1,588.19 and 708.34

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Solution

The fourth proportional to 1,150.19, 1,588.19 and 708.34 is: 978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.19 : 1,588.19 = 708.34 : x
  2. Step 2: Convert to fraction form
    1,150.19/1,588.19 = 708.34/x
  3. Step 3: Cross multiply
    1,150.19x = 1,588.19 × 708.34
  4. Step 4: Simplify right side
    1,150.19x = 1,124,978.50
  5. Step 5: Solve for x
    x = 1,124,978.50/1,150.19
  6. Step 6: Final answer
    x = 978.08

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