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Finding the Fourth Proportional to 460.92, 690.03 and 457.28

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Solution

The fourth proportional to 460.92, 690.03 and 457.28 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 690.03 = 457.28 : x
  2. Step 2: Convert to fraction form
    460.92/690.03 = 457.28/x
  3. Step 3: Cross multiply
    460.92x = 690.03 × 457.28
  4. Step 4: Simplify right side
    460.92x = 315,533.47
  5. Step 5: Solve for x
    x = 315,533.47/460.92
  6. Step 6: Final answer
    x = 684.57

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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.