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Finding the Fourth Proportional to 690.45, 952.46 and 428.01

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Solution

The fourth proportional to 690.45, 952.46 and 428.01 is: 590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.45 : 952.46 = 428.01 : x
  2. Step 2: Convert to fraction form
    690.45/952.46 = 428.01/x
  3. Step 3: Cross multiply
    690.45x = 952.46 × 428.01
  4. Step 4: Simplify right side
    690.45x = 407,666.06
  5. Step 5: Solve for x
    x = 407,666.06/690.45
  6. Step 6: Final answer
    x = 590.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.