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Finding the Fourth Proportional to 829.57, 1,145.06 and 567.58

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Solution

The fourth proportional to 829.57, 1,145.06 and 567.58 is: 783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.57 : 1,145.06 = 567.58 : x
  2. Step 2: Convert to fraction form
    829.57/1,145.06 = 567.58/x
  3. Step 3: Cross multiply
    829.57x = 1,145.06 × 567.58
  4. Step 4: Simplify right side
    829.57x = 649,913.15
  5. Step 5: Solve for x
    x = 649,913.15/829.57
  6. Step 6: Final answer
    x = 783.43

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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.