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Finding the Fourth Proportional to 508.42, 760.87 and 313.33

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Solution

The fourth proportional to 508.42, 760.87 and 313.33 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 760.87 = 313.33 : x
  2. Step 2: Convert to fraction form
    508.42/760.87 = 313.33/x
  3. Step 3: Cross multiply
    508.42x = 760.87 × 313.33
  4. Step 4: Simplify right side
    508.42x = 238,403.40
  5. Step 5: Solve for x
    x = 238,403.40/508.42
  6. Step 6: Final answer
    x = 468.91

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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.