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Finding the Fourth Proportional to 567.64, 783.47 and 346.54

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Solution

The fourth proportional to 567.64, 783.47 and 346.54 is: 478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 783.47 = 346.54 : x
  2. Step 2: Convert to fraction form
    567.64/783.47 = 346.54/x
  3. Step 3: Cross multiply
    567.64x = 783.47 × 346.54
  4. Step 4: Simplify right side
    567.64x = 271,503.69
  5. Step 5: Solve for x
    x = 271,503.69/567.64
  6. Step 6: Final answer
    x = 478.30

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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.