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Finding the Fourth Proportional to 508.89, 702.51 and 392.25

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Solution

The fourth proportional to 508.89, 702.51 and 392.25 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.89 : 702.51 = 392.25 : x
  2. Step 2: Convert to fraction form
    508.89/702.51 = 392.25/x
  3. Step 3: Cross multiply
    508.89x = 702.51 × 392.25
  4. Step 4: Simplify right side
    508.89x = 275,559.55
  5. Step 5: Solve for x
    x = 275,559.55/508.89
  6. Step 6: Final answer
    x = 541.49

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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.