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Finding the Fourth Proportional to 459.22, 687.98 and 296.58

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Solution

The fourth proportional to 459.22, 687.98 and 296.58 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.22 : 687.98 = 296.58 : x
  2. Step 2: Convert to fraction form
    459.22/687.98 = 296.58/x
  3. Step 3: Cross multiply
    459.22x = 687.98 × 296.58
  4. Step 4: Simplify right side
    459.22x = 204,041.11
  5. Step 5: Solve for x
    x = 204,041.11/459.22
  6. Step 6: Final answer
    x = 444.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.