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Finding the Fourth Proportional to 506.84, 702.65 and 480.49

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Solution

The fourth proportional to 506.84, 702.65 and 480.49 is: 666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 702.65 = 480.49 : x
  2. Step 2: Convert to fraction form
    506.84/702.65 = 480.49/x
  3. Step 3: Cross multiply
    506.84x = 702.65 × 480.49
  4. Step 4: Simplify right side
    506.84x = 337,615.74
  5. Step 5: Solve for x
    x = 337,615.74/506.84
  6. Step 6: Final answer
    x = 666.13

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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.