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Finding the Fourth Proportional to 527.44, 786.08 and 526.63

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Solution

The fourth proportional to 527.44, 786.08 and 526.63 is: 784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.44 : 786.08 = 526.63 : x
  2. Step 2: Convert to fraction form
    527.44/786.08 = 526.63/x
  3. Step 3: Cross multiply
    527.44x = 786.08 × 526.63
  4. Step 4: Simplify right side
    527.44x = 413,973.31
  5. Step 5: Solve for x
    x = 413,973.31/527.44
  6. Step 6: Final answer
    x = 784.87

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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.