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Finding the Fourth Proportional to 506.94, 702.44 and 495.60

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Solution

The fourth proportional to 506.94, 702.44 and 495.60 is: 686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.94 : 702.44 = 495.60 : x
  2. Step 2: Convert to fraction form
    506.94/702.44 = 495.60/x
  3. Step 3: Cross multiply
    506.94x = 702.44 × 495.60
  4. Step 4: Simplify right side
    506.94x = 348,126.79
  5. Step 5: Solve for x
    x = 348,126.79/506.94
  6. Step 6: Final answer
    x = 686.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.