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Finding the Fourth Proportional to 653.22, 973.28 and 612.18

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Solution

The fourth proportional to 653.22, 973.28 and 612.18 is: 912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 973.28 = 612.18 : x
  2. Step 2: Convert to fraction form
    653.22/973.28 = 612.18/x
  3. Step 3: Cross multiply
    653.22x = 973.28 × 612.18
  4. Step 4: Simplify right side
    653.22x = 595,824.08
  5. Step 5: Solve for x
    x = 595,824.08/653.22
  6. Step 6: Final answer
    x = 912.13

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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.