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Finding the Fourth Proportional to 618.40, 846.77 and 618.40

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Solution

The fourth proportional to 618.40, 846.77 and 618.40 is: 846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.40 : 846.77 = 618.40 : x
  2. Step 2: Convert to fraction form
    618.40/846.77 = 618.40/x
  3. Step 3: Cross multiply
    618.40x = 846.77 × 618.40
  4. Step 4: Simplify right side
    618.40x = 523,642.57
  5. Step 5: Solve for x
    x = 523,642.57/618.40
  6. Step 6: Final answer
    x = 846.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.