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Finding the Fourth Proportional to 506.84, 702.64 and 483.32

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Solution

The fourth proportional to 506.84, 702.64 and 483.32 is: 670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 702.64 = 483.32 : x
  2. Step 2: Convert to fraction form
    506.84/702.64 = 483.32/x
  3. Step 3: Cross multiply
    506.84x = 702.64 × 483.32
  4. Step 4: Simplify right side
    506.84x = 339,599.96
  5. Step 5: Solve for x
    x = 339,599.96/506.84
  6. Step 6: Final answer
    x = 670.03

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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.