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Finding the Fourth Proportional to 653.24, 980.04 and 532.64

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Solution

The fourth proportional to 653.24, 980.04 and 532.64 is: 799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 980.04 = 532.64 : x
  2. Step 2: Convert to fraction form
    653.24/980.04 = 532.64/x
  3. Step 3: Cross multiply
    653.24x = 980.04 × 532.64
  4. Step 4: Simplify right side
    653.24x = 522,008.51
  5. Step 5: Solve for x
    x = 522,008.51/653.24
  6. Step 6: Final answer
    x = 799.11

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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.