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Finding the Fourth Proportional to 544.86, 752.18 and 420.24

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Solution

The fourth proportional to 544.86, 752.18 and 420.24 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.86 : 752.18 = 420.24 : x
  2. Step 2: Convert to fraction form
    544.86/752.18 = 420.24/x
  3. Step 3: Cross multiply
    544.86x = 752.18 × 420.24
  4. Step 4: Simplify right side
    544.86x = 316,096.12
  5. Step 5: Solve for x
    x = 316,096.12/544.86
  6. Step 6: Final answer
    x = 580.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.