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Finding the Fourth Proportional to 567.40, 849.56 and 420.08

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Solution

The fourth proportional to 567.40, 849.56 and 420.08 is: 628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.40 : 849.56 = 420.08 : x
  2. Step 2: Convert to fraction form
    567.40/849.56 = 420.08/x
  3. Step 3: Cross multiply
    567.40x = 849.56 × 420.08
  4. Step 4: Simplify right side
    567.40x = 356,883.16
  5. Step 5: Solve for x
    x = 356,883.16/567.40
  6. Step 6: Final answer
    x = 628.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.