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Finding the Fourth Proportional to 508.95, 758.81 and 459.75

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Solution

The fourth proportional to 508.95, 758.81 and 459.75 is: 685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 758.81 = 459.75 : x
  2. Step 2: Convert to fraction form
    508.95/758.81 = 459.75/x
  3. Step 3: Cross multiply
    508.95x = 758.81 × 459.75
  4. Step 4: Simplify right side
    508.95x = 348,860.60
  5. Step 5: Solve for x
    x = 348,860.60/508.95
  6. Step 6: Final answer
    x = 685.45

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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.