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Finding the Fourth Proportional to 460.04, 687.14 and 457.64

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Solution

The fourth proportional to 460.04, 687.14 and 457.64 is: 683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 687.14 = 457.64 : x
  2. Step 2: Convert to fraction form
    460.04/687.14 = 457.64/x
  3. Step 3: Cross multiply
    460.04x = 687.14 × 457.64
  4. Step 4: Simplify right side
    460.04x = 314,462.75
  5. Step 5: Solve for x
    x = 314,462.75/460.04
  6. Step 6: Final answer
    x = 683.56

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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.