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Finding the Fourth Proportional to 544.47, 750.90 and 420.45

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Solution

The fourth proportional to 544.47, 750.90 and 420.45 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.47 : 750.90 = 420.45 : x
  2. Step 2: Convert to fraction form
    544.47/750.90 = 420.45/x
  3. Step 3: Cross multiply
    544.47x = 750.90 × 420.45
  4. Step 4: Simplify right side
    544.47x = 315,715.91
  5. Step 5: Solve for x
    x = 315,715.91/544.47
  6. Step 6: Final answer
    x = 579.86

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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.