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Finding the Fourth Proportional to 859.04, 1,184.36 and 649.44

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Solution

The fourth proportional to 859.04, 1,184.36 and 649.44 is: 895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.04 : 1,184.36 = 649.44 : x
  2. Step 2: Convert to fraction form
    859.04/1,184.36 = 649.44/x
  3. Step 3: Cross multiply
    859.04x = 1,184.36 × 649.44
  4. Step 4: Simplify right side
    859.04x = 769,170.76
  5. Step 5: Solve for x
    x = 769,170.76/859.04
  6. Step 6: Final answer
    x = 895.38

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Double scale
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1.5x scale

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.