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Finding the Fourth Proportional to 567.46, 783.07 and 357.57

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Solution

The fourth proportional to 567.46, 783.07 and 357.57 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.46 : 783.07 = 357.57 : x
  2. Step 2: Convert to fraction form
    567.46/783.07 = 357.57/x
  3. Step 3: Cross multiply
    567.46x = 783.07 × 357.57
  4. Step 4: Simplify right side
    567.46x = 280,001.45
  5. Step 5: Solve for x
    x = 280,001.45/567.46
  6. Step 6: Final answer
    x = 493.43

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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.