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Finding the Fourth Proportional to 578.91, 802.55 and 547.72

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Solution

The fourth proportional to 578.91, 802.55 and 547.72 is: 759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.91 : 802.55 = 547.72 : x
  2. Step 2: Convert to fraction form
    578.91/802.55 = 547.72/x
  3. Step 3: Cross multiply
    578.91x = 802.55 × 547.72
  4. Step 4: Simplify right side
    578.91x = 439,572.69
  5. Step 5: Solve for x
    x = 439,572.69/578.91
  6. Step 6: Final answer
    x = 759.31

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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.