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Finding the Fourth Proportional to 485.16, 723.92 and 455.77

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Solution

The fourth proportional to 485.16, 723.92 and 455.77 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.16 : 723.92 = 455.77 : x
  2. Step 2: Convert to fraction form
    485.16/723.92 = 455.77/x
  3. Step 3: Cross multiply
    485.16x = 723.92 × 455.77
  4. Step 4: Simplify right side
    485.16x = 329,936.93
  5. Step 5: Solve for x
    x = 329,936.93/485.16
  6. Step 6: Final answer
    x = 680.06

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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.