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Finding the Fourth Proportional to 459.16, 633.90 and 317.58

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Solution

The fourth proportional to 459.16, 633.90 and 317.58 is: 438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.16 : 633.90 = 317.58 : x
  2. Step 2: Convert to fraction form
    459.16/633.90 = 317.58/x
  3. Step 3: Cross multiply
    459.16x = 633.90 × 317.58
  4. Step 4: Simplify right side
    459.16x = 201,313.96
  5. Step 5: Solve for x
    x = 201,313.96/459.16
  6. Step 6: Final answer
    x = 438.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.