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Finding the Fourth Proportional to 506.40, 698.16 and 428.64

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Solution

The fourth proportional to 506.40, 698.16 and 428.64 is: 590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 698.16 = 428.64 : x
  2. Step 2: Convert to fraction form
    506.40/698.16 = 428.64/x
  3. Step 3: Cross multiply
    506.40x = 698.16 × 428.64
  4. Step 4: Simplify right side
    506.40x = 299,259.30
  5. Step 5: Solve for x
    x = 299,259.30/506.40
  6. Step 6: Final answer
    x = 590.95

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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.