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Finding the Fourth Proportional to 1,118.60, 1,678.19 and 388.23

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Solution

The fourth proportional to 1,118.60, 1,678.19 and 388.23 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.60 : 1,678.19 = 388.23 : x
  2. Step 2: Convert to fraction form
    1,118.60/1,678.19 = 388.23/x
  3. Step 3: Cross multiply
    1,118.60x = 1,678.19 × 388.23
  4. Step 4: Simplify right side
    1,118.60x = 651,521.76
  5. Step 5: Solve for x
    x = 651,521.76/1,118.60
  6. Step 6: Final answer
    x = 582.45

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Double scale
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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.