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Finding the Fourth Proportional to 734.35, 1,103.15 and 572.35

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Solution

The fourth proportional to 734.35, 1,103.15 and 572.35 is: 859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.35 : 1,103.15 = 572.35 : x
  2. Step 2: Convert to fraction form
    734.35/1,103.15 = 572.35/x
  3. Step 3: Cross multiply
    734.35x = 1,103.15 × 572.35
  4. Step 4: Simplify right side
    734.35x = 631,387.90
  5. Step 5: Solve for x
    x = 631,387.90/734.35
  6. Step 6: Final answer
    x = 859.79

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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.