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Finding the Fourth Proportional to 485.80, 723.52 and 468.80

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Solution

The fourth proportional to 485.80, 723.52 and 468.80 is: 698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.80 : 723.52 = 468.80 : x
  2. Step 2: Convert to fraction form
    485.80/723.52 = 468.80/x
  3. Step 3: Cross multiply
    485.80x = 723.52 × 468.80
  4. Step 4: Simplify right side
    485.80x = 339,186.18
  5. Step 5: Solve for x
    x = 339,186.18/485.80
  6. Step 6: Final answer
    x = 698.20

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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.