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Finding the Fourth Proportional to 541.25, 806.29 and 507.63

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Solution

The fourth proportional to 541.25, 806.29 and 507.63 is: 756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.25 : 806.29 = 507.63 : x
  2. Step 2: Convert to fraction form
    541.25/806.29 = 507.63/x
  3. Step 3: Cross multiply
    541.25x = 806.29 × 507.63
  4. Step 4: Simplify right side
    541.25x = 409,298.75
  5. Step 5: Solve for x
    x = 409,298.75/541.25
  6. Step 6: Final answer
    x = 756.21

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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.