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Finding the Fourth Proportional to 460.42, 687.38 and 417.36

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Solution

The fourth proportional to 460.42, 687.38 and 417.36 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 687.38 = 417.36 : x
  2. Step 2: Convert to fraction form
    460.42/687.38 = 417.36/x
  3. Step 3: Cross multiply
    460.42x = 687.38 × 417.36
  4. Step 4: Simplify right side
    460.42x = 286,884.92
  5. Step 5: Solve for x
    x = 286,884.92/460.42
  6. Step 6: Final answer
    x = 623.09

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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.