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Finding the Fourth Proportional to 485.15, 728.61 and 465.58

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Solution

The fourth proportional to 485.15, 728.61 and 465.58 is: 699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.15 : 728.61 = 465.58 : x
  2. Step 2: Convert to fraction form
    485.15/728.61 = 465.58/x
  3. Step 3: Cross multiply
    485.15x = 728.61 × 465.58
  4. Step 4: Simplify right side
    485.15x = 339,226.24
  5. Step 5: Solve for x
    x = 339,226.24/485.15
  6. Step 6: Final answer
    x = 699.22

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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.