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Finding the Fourth Proportional to 544.64, 812.52 and 492.80

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Solution

The fourth proportional to 544.64, 812.52 and 492.80 is: 735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.64 : 812.52 = 492.80 : x
  2. Step 2: Convert to fraction form
    544.64/812.52 = 492.80/x
  3. Step 3: Cross multiply
    544.64x = 812.52 × 492.80
  4. Step 4: Simplify right side
    544.64x = 400,409.86
  5. Step 5: Solve for x
    x = 400,409.86/544.64
  6. Step 6: Final answer
    x = 735.18

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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.