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Finding the Fourth Proportional to 677.40, 933.89 and 529.80

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Solution

The fourth proportional to 677.40, 933.89 and 529.80 is: 730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 933.89 = 529.80 : x
  2. Step 2: Convert to fraction form
    677.40/933.89 = 529.80/x
  3. Step 3: Cross multiply
    677.40x = 933.89 × 529.80
  4. Step 4: Simplify right side
    677.40x = 494,774.92
  5. Step 5: Solve for x
    x = 494,774.92/677.40
  6. Step 6: Final answer
    x = 730.40

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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.