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Finding the Fourth Proportional to 485.19, 728.65 and 459.24

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Solution

The fourth proportional to 485.19, 728.65 and 459.24 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.19 : 728.65 = 459.24 : x
  2. Step 2: Convert to fraction form
    485.19/728.65 = 459.24/x
  3. Step 3: Cross multiply
    485.19x = 728.65 × 459.24
  4. Step 4: Simplify right side
    485.19x = 334,626.63
  5. Step 5: Solve for x
    x = 334,626.63/485.19
  6. Step 6: Final answer
    x = 689.68

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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.