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Finding the Fourth Proportional to 709.50, 1,062.40 and 631.12

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Solution

The fourth proportional to 709.50, 1,062.40 and 631.12 is: 945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 1,062.40 = 631.12 : x
  2. Step 2: Convert to fraction form
    709.50/1,062.40 = 631.12/x
  3. Step 3: Cross multiply
    709.50x = 1,062.40 × 631.12
  4. Step 4: Simplify right side
    709.50x = 670,501.89
  5. Step 5: Solve for x
    x = 670,501.89/709.50
  6. Step 6: Final answer
    x = 945.03

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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.