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Finding the Fourth Proportional to 540.15, 806.45 and 466.93

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Solution

The fourth proportional to 540.15, 806.45 and 466.93 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.15 : 806.45 = 466.93 : x
  2. Step 2: Convert to fraction form
    540.15/806.45 = 466.93/x
  3. Step 3: Cross multiply
    540.15x = 806.45 × 466.93
  4. Step 4: Simplify right side
    540.15x = 376,555.70
  5. Step 5: Solve for x
    x = 376,555.70/540.15
  6. Step 6: Final answer
    x = 697.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.