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Finding the Fourth Proportional to 645, 884.65 and 567.24

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Solution

The fourth proportional to 645, 884.65 and 567.24 is: 778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645 : 884.65 = 567.24 : x
  2. Step 2: Convert to fraction form
    645/884.65 = 567.24/x
  3. Step 3: Cross multiply
    645x = 884.65 × 567.24
  4. Step 4: Simplify right side
    645x = 501,808.87
  5. Step 5: Solve for x
    x = 501,808.87/645
  6. Step 6: Final answer
    x = 778.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.