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Finding the Fourth Proportional to 546.18, 823.25 and 500.01

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Solution

The fourth proportional to 546.18, 823.25 and 500.01 is: 753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.18 : 823.25 = 500.01 : x
  2. Step 2: Convert to fraction form
    546.18/823.25 = 500.01/x
  3. Step 3: Cross multiply
    546.18x = 823.25 × 500.01
  4. Step 4: Simplify right side
    546.18x = 411,633.23
  5. Step 5: Solve for x
    x = 411,633.23/546.18
  6. Step 6: Final answer
    x = 753.66

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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.