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Finding the Fourth Proportional to 653.15, 980.27 and 612.10

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Solution

The fourth proportional to 653.15, 980.27 and 612.10 is: 918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.15 : 980.27 = 612.10 : x
  2. Step 2: Convert to fraction form
    653.15/980.27 = 612.10/x
  3. Step 3: Cross multiply
    653.15x = 980.27 × 612.10
  4. Step 4: Simplify right side
    653.15x = 600,020.05
  5. Step 5: Solve for x
    x = 600,020.05/653.15
  6. Step 6: Final answer
    x = 918.66

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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.