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Finding the Fourth Proportional to 567.45, 783.08 and 346.37

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Solution

The fourth proportional to 567.45, 783.08 and 346.37 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 783.08 = 346.37 : x
  2. Step 2: Convert to fraction form
    567.45/783.08 = 346.37/x
  3. Step 3: Cross multiply
    567.45x = 783.08 × 346.37
  4. Step 4: Simplify right side
    567.45x = 271,229.77
  5. Step 5: Solve for x
    x = 271,229.77/567.45
  6. Step 6: Final answer
    x = 477.98

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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.