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Finding the Fourth Proportional to 459.90, 693.09 and 437.94

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Solution

The fourth proportional to 459.90, 693.09 and 437.94 is: 660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 693.09 = 437.94 : x
  2. Step 2: Convert to fraction form
    459.90/693.09 = 437.94/x
  3. Step 3: Cross multiply
    459.90x = 693.09 × 437.94
  4. Step 4: Simplify right side
    459.90x = 303,531.83
  5. Step 5: Solve for x
    x = 303,531.83/459.90
  6. Step 6: Final answer
    x = 660.00

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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.