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Finding the Fourth Proportional to 1,184.04, 1,632.78 and 718.20

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Solution

The fourth proportional to 1,184.04, 1,632.78 and 718.20 is: 990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.04 : 1,632.78 = 718.20 : x
  2. Step 2: Convert to fraction form
    1,184.04/1,632.78 = 718.20/x
  3. Step 3: Cross multiply
    1,184.04x = 1,632.78 × 718.20
  4. Step 4: Simplify right side
    1,184.04x = 1,172,662.60
  5. Step 5: Solve for x
    x = 1,172,662.60/1,184.04
  6. Step 6: Final answer
    x = 990.39

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Half 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.