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Finding the Fourth Proportional to 537.68, 802.72 and 455.68

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Solution

The fourth proportional to 537.68, 802.72 and 455.68 is: 680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.68 : 802.72 = 455.68 : x
  2. Step 2: Convert to fraction form
    537.68/802.72 = 455.68/x
  3. Step 3: Cross multiply
    537.68x = 802.72 × 455.68
  4. Step 4: Simplify right side
    537.68x = 365,783.45
  5. Step 5: Solve for x
    x = 365,783.45/537.68
  6. Step 6: Final answer
    x = 680.30

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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.