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Finding the Fourth Proportional to 567.87, 783.60 and 346.77

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Solution

The fourth proportional to 567.87, 783.60 and 346.77 is: 478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 783.60 = 346.77 : x
  2. Step 2: Convert to fraction form
    567.87/783.60 = 346.77/x
  3. Step 3: Cross multiply
    567.87x = 783.60 × 346.77
  4. Step 4: Simplify right side
    567.87x = 271,728.97
  5. Step 5: Solve for x
    x = 271,728.97/567.87
  6. Step 6: Final answer
    x = 478.51

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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.