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Finding the Fourth Proportional to 1,319.13, 1,978.29 and 1,087.45

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Solution

The fourth proportional to 1,319.13, 1,978.29 and 1,087.45 is: 1,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.13 : 1,978.29 = 1,087.45 : x
  2. Step 2: Convert to fraction form
    1,319.13/1,978.29 = 1,087.45/x
  3. Step 3: Cross multiply
    1,319.13x = 1,978.29 × 1,087.45
  4. Step 4: Simplify right side
    1,319.13x = 2,151,291.46
  5. Step 5: Solve for x
    x = 2,151,291.46/1,319.13
  6. Step 6: Final answer
    x = 1,630.84

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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.