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Finding the Fourth Proportional to 1,200.70, 1,656.48 and 886.69

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Solution

The fourth proportional to 1,200.70, 1,656.48 and 886.69 is: 1,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.70 : 1,656.48 = 886.69 : x
  2. Step 2: Convert to fraction form
    1,200.70/1,656.48 = 886.69/x
  3. Step 3: Cross multiply
    1,200.70x = 1,656.48 × 886.69
  4. Step 4: Simplify right side
    1,200.70x = 1,468,784.25
  5. Step 5: Solve for x
    x = 1,468,784.25/1,200.70
  6. Step 6: Final answer
    x = 1,223.27

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Half scale
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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.