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Finding the Fourth Proportional to 551.20, 830.93 and 546.34

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Solution

The fourth proportional to 551.20, 830.93 and 546.34 is: 823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.20 : 830.93 = 546.34 : x
  2. Step 2: Convert to fraction form
    551.20/830.93 = 546.34/x
  3. Step 3: Cross multiply
    551.20x = 830.93 × 546.34
  4. Step 4: Simplify right side
    551.20x = 453,970.30
  5. Step 5: Solve for x
    x = 453,970.30/551.20
  6. Step 6: Final answer
    x = 823.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.