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Finding the Fourth Proportional to 506.45, 697.14 and 436.74

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Solution

The fourth proportional to 506.45, 697.14 and 436.74 is: 601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.45 : 697.14 = 436.74 : x
  2. Step 2: Convert to fraction form
    506.45/697.14 = 436.74/x
  3. Step 3: Cross multiply
    506.45x = 697.14 × 436.74
  4. Step 4: Simplify right side
    506.45x = 304,468.92
  5. Step 5: Solve for x
    x = 304,468.92/506.45
  6. Step 6: Final answer
    x = 601.18

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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.