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Finding the Fourth Proportional to 567.99, 783.79 and 381.45

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Solution

The fourth proportional to 567.99, 783.79 and 381.45 is: 526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.99 : 783.79 = 381.45 : x
  2. Step 2: Convert to fraction form
    567.99/783.79 = 381.45/x
  3. Step 3: Cross multiply
    567.99x = 783.79 × 381.45
  4. Step 4: Simplify right side
    567.99x = 298,978.62
  5. Step 5: Solve for x
    x = 298,978.62/567.99
  6. Step 6: Final answer
    x = 526.38

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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.