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Finding the Fourth Proportional to 459.41, 684.05 and 456.17

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Solution

The fourth proportional to 459.41, 684.05 and 456.17 is: 679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.41 : 684.05 = 456.17 : x
  2. Step 2: Convert to fraction form
    459.41/684.05 = 456.17/x
  3. Step 3: Cross multiply
    459.41x = 684.05 × 456.17
  4. Step 4: Simplify right side
    459.41x = 312,037.39
  5. Step 5: Solve for x
    x = 312,037.39/459.41
  6. Step 6: Final answer
    x = 679.22

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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.