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Finding the Fourth Proportional to 508.54, 757.80 and 492.02

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Solution

The fourth proportional to 508.54, 757.80 and 492.02 is: 733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.54 : 757.80 = 492.02 : x
  2. Step 2: Convert to fraction form
    508.54/757.80 = 492.02/x
  3. Step 3: Cross multiply
    508.54x = 757.80 × 492.02
  4. Step 4: Simplify right side
    508.54x = 372,852.76
  5. Step 5: Solve for x
    x = 372,852.76/508.54
  6. Step 6: Final answer
    x = 733.18

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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.