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Finding the Fourth Proportional to 510.72, 695.82 and 499.44

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Solution

The fourth proportional to 510.72, 695.82 and 499.44 is: 680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 695.82 = 499.44 : x
  2. Step 2: Convert to fraction form
    510.72/695.82 = 499.44/x
  3. Step 3: Cross multiply
    510.72x = 695.82 × 499.44
  4. Step 4: Simplify right side
    510.72x = 347,520.34
  5. Step 5: Solve for x
    x = 347,520.34/510.72
  6. Step 6: Final answer
    x = 680.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.