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Finding the Fourth Proportional to 567.10, 849.00 and 430.68

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Solution

The fourth proportional to 567.10, 849.00 and 430.68 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.10 : 849.00 = 430.68 : x
  2. Step 2: Convert to fraction form
    567.10/849.00 = 430.68/x
  3. Step 3: Cross multiply
    567.10x = 849.00 × 430.68
  4. Step 4: Simplify right side
    567.10x = 365,649.70
  5. Step 5: Solve for x
    x = 365,649.70/567.10
  6. Step 6: Final answer
    x = 644.77

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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.