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Finding the Fourth Proportional to 1,079.49, 1,618.88 and 421.32

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Solution

The fourth proportional to 1,079.49, 1,618.88 and 421.32 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.49 : 1,618.88 = 421.32 : x
  2. Step 2: Convert to fraction form
    1,079.49/1,618.88 = 421.32/x
  3. Step 3: Cross multiply
    1,079.49x = 1,618.88 × 421.32
  4. Step 4: Simplify right side
    1,079.49x = 682,066.52
  5. Step 5: Solve for x
    x = 682,066.52/1,079.49
  6. Step 6: Final answer
    x = 631.84

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1.5x scale

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.