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Finding the Fourth Proportional to 508.48, 766.88 and 503.04

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Solution

The fourth proportional to 508.48, 766.88 and 503.04 is: 758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 766.88 = 503.04 : x
  2. Step 2: Convert to fraction form
    508.48/766.88 = 503.04/x
  3. Step 3: Cross multiply
    508.48x = 766.88 × 503.04
  4. Step 4: Simplify right side
    508.48x = 385,771.32
  5. Step 5: Solve for x
    x = 385,771.32/508.48
  6. Step 6: Final answer
    x = 758.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.