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Finding the Fourth Proportional to 544.80, 818.40 and 524.40

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Solution

The fourth proportional to 544.80, 818.40 and 524.40 is: 787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.80 : 818.40 = 524.40 : x
  2. Step 2: Convert to fraction form
    544.80/818.40 = 524.40/x
  3. Step 3: Cross multiply
    544.80x = 818.40 × 524.40
  4. Step 4: Simplify right side
    544.80x = 429,168.96
  5. Step 5: Solve for x
    x = 429,168.96/544.80
  6. Step 6: Final answer
    x = 787.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.