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Finding the Fourth Proportional to 527.24, 786.57 and 508.32

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Solution

The fourth proportional to 527.24, 786.57 and 508.32 is: 758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.24 : 786.57 = 508.32 : x
  2. Step 2: Convert to fraction form
    527.24/786.57 = 508.32/x
  3. Step 3: Cross multiply
    527.24x = 786.57 × 508.32
  4. Step 4: Simplify right side
    527.24x = 399,824.41
  5. Step 5: Solve for x
    x = 399,824.41/527.24
  6. Step 6: Final answer
    x = 758.34

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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.