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Finding the Fourth Proportional to 537.86, 741.88 and 380.18

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Solution

The fourth proportional to 537.86, 741.88 and 380.18 is: 524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.86 : 741.88 = 380.18 : x
  2. Step 2: Convert to fraction form
    537.86/741.88 = 380.18/x
  3. Step 3: Cross multiply
    537.86x = 741.88 × 380.18
  4. Step 4: Simplify right side
    537.86x = 282,047.94
  5. Step 5: Solve for x
    x = 282,047.94/537.86
  6. Step 6: Final answer
    x = 524.39

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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.