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Finding the Fourth Proportional to 618.02, 930.64 and 456.84

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Solution

The fourth proportional to 618.02, 930.64 and 456.84 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.02 : 930.64 = 456.84 : x
  2. Step 2: Convert to fraction form
    618.02/930.64 = 456.84/x
  3. Step 3: Cross multiply
    618.02x = 930.64 × 456.84
  4. Step 4: Simplify right side
    618.02x = 425,153.58
  5. Step 5: Solve for x
    x = 425,153.58/618.02
  6. Step 6: Final answer
    x = 687.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.