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Finding the Fourth Proportional to 734.85, 1,013.63 and 587.25

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Solution

The fourth proportional to 734.85, 1,013.63 and 587.25 is: 810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.85 : 1,013.63 = 587.25 : x
  2. Step 2: Convert to fraction form
    734.85/1,013.63 = 587.25/x
  3. Step 3: Cross multiply
    734.85x = 1,013.63 × 587.25
  4. Step 4: Simplify right side
    734.85x = 595,251.28
  5. Step 5: Solve for x
    x = 595,251.28/734.85
  6. Step 6: Final answer
    x = 810.03

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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.