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Finding the Fourth Proportional to 653.64, 973.20 and 650.40

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Solution

The fourth proportional to 653.64, 973.20 and 650.40 is: 968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.64 : 973.20 = 650.40 : x
  2. Step 2: Convert to fraction form
    653.64/973.20 = 650.40/x
  3. Step 3: Cross multiply
    653.64x = 973.20 × 650.40
  4. Step 4: Simplify right side
    653.64x = 632,969.28
  5. Step 5: Solve for x
    x = 632,969.28/653.64
  6. Step 6: Final answer
    x = 968.38

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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.