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Finding the Fourth Proportional to 528.71, 789.54 and 522.98

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Solution

The fourth proportional to 528.71, 789.54 and 522.98 is: 780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.71 : 789.54 = 522.98 : x
  2. Step 2: Convert to fraction form
    528.71/789.54 = 522.98/x
  3. Step 3: Cross multiply
    528.71x = 789.54 × 522.98
  4. Step 4: Simplify right side
    528.71x = 412,913.63
  5. Step 5: Solve for x
    x = 412,913.63/528.71
  6. Step 6: Final answer
    x = 780.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.