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Finding the Fourth Proportional to 554.20, 830.26 and 463.48

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Solution

The fourth proportional to 554.20, 830.26 and 463.48 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.20 : 830.26 = 463.48 : x
  2. Step 2: Convert to fraction form
    554.20/830.26 = 463.48/x
  3. Step 3: Cross multiply
    554.20x = 830.26 × 463.48
  4. Step 4: Simplify right side
    554.20x = 384,808.90
  5. Step 5: Solve for x
    x = 384,808.90/554.20
  6. Step 6: Final answer
    x = 694.35

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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.