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Finding the Fourth Proportional to 508.94, 758.52 and 508.13

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Solution

The fourth proportional to 508.94, 758.52 and 508.13 is: 757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.94 : 758.52 = 508.13 : x
  2. Step 2: Convert to fraction form
    508.94/758.52 = 508.13/x
  3. Step 3: Cross multiply
    508.94x = 758.52 × 508.13
  4. Step 4: Simplify right side
    508.94x = 385,426.77
  5. Step 5: Solve for x
    x = 385,426.77/508.94
  6. Step 6: Final answer
    x = 757.31

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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.