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Finding the Fourth Proportional to 509.84, 702.54 and 391.80

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Solution

The fourth proportional to 509.84, 702.54 and 391.80 is: 539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.84 : 702.54 = 391.80 : x
  2. Step 2: Convert to fraction form
    509.84/702.54 = 391.80/x
  3. Step 3: Cross multiply
    509.84x = 702.54 × 391.80
  4. Step 4: Simplify right side
    509.84x = 275,255.17
  5. Step 5: Solve for x
    x = 275,255.17/509.84
  6. Step 6: Final answer
    x = 539.89

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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.