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Finding the Fourth Proportional to 555.96, 762.99 and 511.80

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Solution

The fourth proportional to 555.96, 762.99 and 511.80 is: 702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 762.99 = 511.80 : x
  2. Step 2: Convert to fraction form
    555.96/762.99 = 511.80/x
  3. Step 3: Cross multiply
    555.96x = 762.99 × 511.80
  4. Step 4: Simplify right side
    555.96x = 390,498.28
  5. Step 5: Solve for x
    x = 390,498.28/555.96
  6. Step 6: Final answer
    x = 702.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.