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Finding the Fourth Proportional to 456.08, 687.46 and 417.13

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Solution

The fourth proportional to 456.08, 687.46 and 417.13 is: 628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.08 : 687.46 = 417.13 : x
  2. Step 2: Convert to fraction form
    456.08/687.46 = 417.13/x
  3. Step 3: Cross multiply
    456.08x = 687.46 × 417.13
  4. Step 4: Simplify right side
    456.08x = 286,760.19
  5. Step 5: Solve for x
    x = 286,760.19/456.08
  6. Step 6: Final answer
    x = 628.75

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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.