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Finding the Fourth Proportional to 537.99, 741.57 and 405.01

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Solution

The fourth proportional to 537.99, 741.57 and 405.01 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.99 : 741.57 = 405.01 : x
  2. Step 2: Convert to fraction form
    537.99/741.57 = 405.01/x
  3. Step 3: Cross multiply
    537.99x = 741.57 × 405.01
  4. Step 4: Simplify right side
    537.99x = 300,342.67
  5. Step 5: Solve for x
    x = 300,342.67/537.99
  6. Step 6: Final answer
    x = 558.27

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1.5x scale

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.