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Finding the Fourth Proportional to 537.53, 740.99 and 420.89

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Solution

The fourth proportional to 537.53, 740.99 and 420.89 is: 580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.53 : 740.99 = 420.89 : x
  2. Step 2: Convert to fraction form
    537.53/740.99 = 420.89/x
  3. Step 3: Cross multiply
    537.53x = 740.99 × 420.89
  4. Step 4: Simplify right side
    537.53x = 311,873.18
  5. Step 5: Solve for x
    x = 311,873.18/537.53
  6. Step 6: Final answer
    x = 580.20

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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.