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Finding the Fourth Proportional to 709.40, 1,063.43 and 651

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Solution

The fourth proportional to 709.40, 1,063.43 and 651 is: 975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,063.43 = 651 : x
  2. Step 2: Convert to fraction form
    709.40/1,063.43 = 651/x
  3. Step 3: Cross multiply
    709.40x = 1,063.43 × 651
  4. Step 4: Simplify right side
    709.40x = 692,294.56
  5. Step 5: Solve for x
    x = 692,294.56/709.40
  6. Step 6: Final answer
    x = 975.89

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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.