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Finding the Fourth Proportional to 527.56, 788.43 and 389.02

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Solution

The fourth proportional to 527.56, 788.43 and 389.02 is: 581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 788.43 = 389.02 : x
  2. Step 2: Convert to fraction form
    527.56/788.43 = 389.02/x
  3. Step 3: Cross multiply
    527.56x = 788.43 × 389.02
  4. Step 4: Simplify right side
    527.56x = 306,715.37
  5. Step 5: Solve for x
    x = 306,715.37/527.56
  6. Step 6: Final answer
    x = 581.38

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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.