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Finding the Fourth Proportional to 653.06, 973.06 and 611.15

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Solution

The fourth proportional to 653.06, 973.06 and 611.15 is: 910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 973.06 = 611.15 : x
  2. Step 2: Convert to fraction form
    653.06/973.06 = 611.15/x
  3. Step 3: Cross multiply
    653.06x = 973.06 × 611.15
  4. Step 4: Simplify right side
    653.06x = 594,682.66
  5. Step 5: Solve for x
    x = 594,682.66/653.06
  6. Step 6: Final answer
    x = 910.61

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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.