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Finding the Fourth Proportional to 633.81, 875.06 and 567.30

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Solution

The fourth proportional to 633.81, 875.06 and 567.30 is: 783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.81 : 875.06 = 567.30 : x
  2. Step 2: Convert to fraction form
    633.81/875.06 = 567.30/x
  3. Step 3: Cross multiply
    633.81x = 875.06 × 567.30
  4. Step 4: Simplify right side
    633.81x = 496,422.96
  5. Step 5: Solve for x
    x = 496,422.96/633.81
  6. Step 6: Final answer
    x = 783.24

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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.