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Finding the Fourth Proportional to 508.39, 758.21 and 459.18

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Solution

The fourth proportional to 508.39, 758.21 and 459.18 is: 684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.39 : 758.21 = 459.18 : x
  2. Step 2: Convert to fraction form
    508.39/758.21 = 459.18/x
  3. Step 3: Cross multiply
    508.39x = 758.21 × 459.18
  4. Step 4: Simplify right side
    508.39x = 348,154.87
  5. Step 5: Solve for x
    x = 348,154.87/508.39
  6. Step 6: Final answer
    x = 684.82

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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.