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Finding the Fourth Proportional to 1,150.36, 1,587.81 and 708.63

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Solution

The fourth proportional to 1,150.36, 1,587.81 and 708.63 is: 978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.36 : 1,587.81 = 708.63 : x
  2. Step 2: Convert to fraction form
    1,150.36/1,587.81 = 708.63/x
  3. Step 3: Cross multiply
    1,150.36x = 1,587.81 × 708.63
  4. Step 4: Simplify right side
    1,150.36x = 1,125,173.10
  5. Step 5: Solve for x
    x = 1,125,173.10/1,150.36
  6. Step 6: Final answer
    x = 978.10

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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.