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Finding the Fourth Proportional to 579.84, 865.88 and 506.88

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Solution

The fourth proportional to 579.84, 865.88 and 506.88 is: 756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 865.88 = 506.88 : x
  2. Step 2: Convert to fraction form
    579.84/865.88 = 506.88/x
  3. Step 3: Cross multiply
    579.84x = 865.88 × 506.88
  4. Step 4: Simplify right side
    579.84x = 438,897.25
  5. Step 5: Solve for x
    x = 438,897.25/579.84
  6. Step 6: Final answer
    x = 756.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.