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Finding the Fourth Proportional to 567.75, 784.47 and 469.34

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Solution

The fourth proportional to 567.75, 784.47 and 469.34 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 784.47 = 469.34 : x
  2. Step 2: Convert to fraction form
    567.75/784.47 = 469.34/x
  3. Step 3: Cross multiply
    567.75x = 784.47 × 469.34
  4. Step 4: Simplify right side
    567.75x = 368,183.15
  5. Step 5: Solve for x
    x = 368,183.15/567.75
  6. Step 6: Final answer
    x = 648.50

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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.