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Finding the Fourth Proportional to 554.35, 830.36 and 380.20

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Solution

The fourth proportional to 554.35, 830.36 and 380.20 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.35 : 830.36 = 380.20 : x
  2. Step 2: Convert to fraction form
    554.35/830.36 = 380.20/x
  3. Step 3: Cross multiply
    554.35x = 830.36 × 380.20
  4. Step 4: Simplify right side
    554.35x = 315,702.87
  5. Step 5: Solve for x
    x = 315,702.87/554.35
  6. Step 6: Final answer
    x = 569.50

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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.