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Finding the Fourth Proportional to 459.54, 686.34 and 416.12

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Solution

The fourth proportional to 459.54, 686.34 and 416.12 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 686.34 = 416.12 : x
  2. Step 2: Convert to fraction form
    459.54/686.34 = 416.12/x
  3. Step 3: Cross multiply
    459.54x = 686.34 × 416.12
  4. Step 4: Simplify right side
    459.54x = 285,597.72
  5. Step 5: Solve for x
    x = 285,597.72/459.54
  6. Step 6: Final answer
    x = 621.49

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1.5x scale

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.