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Finding the Fourth Proportional to 546.30, 823.10 and 473.40

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Solution

The fourth proportional to 546.30, 823.10 and 473.40 is: 713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.30 : 823.10 = 473.40 : x
  2. Step 2: Convert to fraction form
    546.30/823.10 = 473.40/x
  3. Step 3: Cross multiply
    546.30x = 823.10 × 473.40
  4. Step 4: Simplify right side
    546.30x = 389,653.17
  5. Step 5: Solve for x
    x = 389,653.17/546.30
  6. Step 6: Final answer
    x = 713.26

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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.