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Finding the Fourth Proportional to 654.32, 981.76 and 652.32

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Solution

The fourth proportional to 654.32, 981.76 and 652.32 is: 978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 981.76 = 652.32 : x
  2. Step 2: Convert to fraction form
    654.32/981.76 = 652.32/x
  3. Step 3: Cross multiply
    654.32x = 981.76 × 652.32
  4. Step 4: Simplify right side
    654.32x = 640,421.68
  5. Step 5: Solve for x
    x = 640,421.68/654.32
  6. Step 6: Final answer
    x = 978.76

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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.