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Finding the Fourth Proportional to 677.98, 933.28 and 511.93

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Solution

The fourth proportional to 677.98, 933.28 and 511.93 is: 704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.98 : 933.28 = 511.93 : x
  2. Step 2: Convert to fraction form
    677.98/933.28 = 511.93/x
  3. Step 3: Cross multiply
    677.98x = 933.28 × 511.93
  4. Step 4: Simplify right side
    677.98x = 477,774.03
  5. Step 5: Solve for x
    x = 477,774.03/677.98
  6. Step 6: Final answer
    x = 704.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.