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Finding the Fourth Proportional to 653.11, 973.07 and 611.21

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Solution

The fourth proportional to 653.11, 973.07 and 611.21 is: 910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.11 : 973.07 = 611.21 : x
  2. Step 2: Convert to fraction form
    653.11/973.07 = 611.21/x
  3. Step 3: Cross multiply
    653.11x = 973.07 × 611.21
  4. Step 4: Simplify right side
    653.11x = 594,750.11
  5. Step 5: Solve for x
    x = 594,750.11/653.11
  6. Step 6: Final answer
    x = 910.64

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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.