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Finding the Fourth Proportional to 567.49, 782.71 and 381.19

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Solution

The fourth proportional to 567.49, 782.71 and 381.19 is: 525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 782.71 = 381.19 : x
  2. Step 2: Convert to fraction form
    567.49/782.71 = 381.19/x
  3. Step 3: Cross multiply
    567.49x = 782.71 × 381.19
  4. Step 4: Simplify right side
    567.49x = 298,361.22
  5. Step 5: Solve for x
    x = 298,361.22/567.49
  6. Step 6: Final answer
    x = 525.76

Related Problems

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Double scale
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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.