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Finding the Fourth Proportional to 546.31, 817.50 and 470.20

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Solution

The fourth proportional to 546.31, 817.50 and 470.20 is: 703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.31 : 817.50 = 470.20 : x
  2. Step 2: Convert to fraction form
    546.31/817.50 = 470.20/x
  3. Step 3: Cross multiply
    546.31x = 817.50 × 470.20
  4. Step 4: Simplify right side
    546.31x = 384,383.82
  5. Step 5: Solve for x
    x = 384,383.82/546.31
  6. Step 6: Final answer
    x = 703.60

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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.