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Finding the Fourth Proportional to 567.90, 784.08 and 371.34

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Solution

The fourth proportional to 567.90, 784.08 and 371.34 is: 512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 784.08 = 371.34 : x
  2. Step 2: Convert to fraction form
    567.90/784.08 = 371.34/x
  3. Step 3: Cross multiply
    567.90x = 784.08 × 371.34
  4. Step 4: Simplify right side
    567.90x = 291,160.27
  5. Step 5: Solve for x
    x = 291,160.27/567.90
  6. Step 6: Final answer
    x = 512.70

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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.