Home / 1,088.12-1,630.44-977.60

Finding the Fourth Proportional to 1,088.12, 1,630.44 and 977.60

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Solution

The fourth proportional to 1,088.12, 1,630.44 and 977.60 is: 1,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.12 : 1,630.44 = 977.60 : x
  2. Step 2: Convert to fraction form
    1,088.12/1,630.44 = 977.60/x
  3. Step 3: Cross multiply
    1,088.12x = 1,630.44 × 977.60
  4. Step 4: Simplify right side
    1,088.12x = 1,593,918.14
  5. Step 5: Solve for x
    x = 1,593,918.14/1,088.12
  6. Step 6: Final answer
    x = 1,464.84

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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.