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Finding the Fourth Proportional to 483.44, 728.66 and 457.04

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Solution

The fourth proportional to 483.44, 728.66 and 457.04 is: 688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.44 : 728.66 = 457.04 : x
  2. Step 2: Convert to fraction form
    483.44/728.66 = 457.04/x
  3. Step 3: Cross multiply
    483.44x = 728.66 × 457.04
  4. Step 4: Simplify right side
    483.44x = 333,026.77
  5. Step 5: Solve for x
    x = 333,026.77/483.44
  6. Step 6: Final answer
    x = 688.87

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1.5x scale

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.