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Finding the Fourth Proportional to 567.88, 783.95 and 381.30

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Solution

The fourth proportional to 567.88, 783.95 and 381.30 is: 526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 783.95 = 381.30 : x
  2. Step 2: Convert to fraction form
    567.88/783.95 = 381.30/x
  3. Step 3: Cross multiply
    567.88x = 783.95 × 381.30
  4. Step 4: Simplify right side
    567.88x = 298,920.14
  5. Step 5: Solve for x
    x = 298,920.14/567.88
  6. Step 6: Final answer
    x = 526.38

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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.