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Finding the Fourth Proportional to 506.42, 698.25 and 436.35

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Solution

The fourth proportional to 506.42, 698.25 and 436.35 is: 601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.42 : 698.25 = 436.35 : x
  2. Step 2: Convert to fraction form
    506.42/698.25 = 436.35/x
  3. Step 3: Cross multiply
    506.42x = 698.25 × 436.35
  4. Step 4: Simplify right side
    506.42x = 304,681.39
  5. Step 5: Solve for x
    x = 304,681.39/506.42
  6. Step 6: Final answer
    x = 601.64

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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.