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Finding the Fourth Proportional to 567.84, 783.96 and 371.68

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Solution

The fourth proportional to 567.84, 783.96 and 371.68 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 783.96 = 371.68 : x
  2. Step 2: Convert to fraction form
    567.84/783.96 = 371.68/x
  3. Step 3: Cross multiply
    567.84x = 783.96 × 371.68
  4. Step 4: Simplify right side
    567.84x = 291,382.25
  5. Step 5: Solve for x
    x = 291,382.25/567.84
  6. Step 6: Final answer
    x = 513.14

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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.