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Finding the Fourth Proportional to 656.41, 981.57 and 508.49

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Solution

The fourth proportional to 656.41, 981.57 and 508.49 is: 760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.41 : 981.57 = 508.49 : x
  2. Step 2: Convert to fraction form
    656.41/981.57 = 508.49/x
  3. Step 3: Cross multiply
    656.41x = 981.57 × 508.49
  4. Step 4: Simplify right side
    656.41x = 499,115.53
  5. Step 5: Solve for x
    x = 499,115.53/656.41
  6. Step 6: Final answer
    x = 760.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.