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Finding the Fourth Proportional to 567.10, 854.84 and 520.30

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Solution

The fourth proportional to 567.10, 854.84 and 520.30 is: 784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.10 : 854.84 = 520.30 : x
  2. Step 2: Convert to fraction form
    567.10/854.84 = 520.30/x
  3. Step 3: Cross multiply
    567.10x = 854.84 × 520.30
  4. Step 4: Simplify right side
    567.10x = 444,773.25
  5. Step 5: Solve for x
    x = 444,773.25/567.10
  6. Step 6: Final answer
    x = 784.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.