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Finding the Fourth Proportional to 527.70, 788.05 and 521.98

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Solution

The fourth proportional to 527.70, 788.05 and 521.98 is: 779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 788.05 = 521.98 : x
  2. Step 2: Convert to fraction form
    527.70/788.05 = 521.98/x
  3. Step 3: Cross multiply
    527.70x = 788.05 × 521.98
  4. Step 4: Simplify right side
    527.70x = 411,346.34
  5. Step 5: Solve for x
    x = 411,346.34/527.70
  6. Step 6: Final answer
    x = 779.51

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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.