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Finding the Fourth Proportional to 709.86, 1,059.72 and 659.10

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Solution

The fourth proportional to 709.86, 1,059.72 and 659.10 is: 983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.86 : 1,059.72 = 659.10 : x
  2. Step 2: Convert to fraction form
    709.86/1,059.72 = 659.10/x
  3. Step 3: Cross multiply
    709.86x = 1,059.72 × 659.10
  4. Step 4: Simplify right side
    709.86x = 698,461.45
  5. Step 5: Solve for x
    x = 698,461.45/709.86
  6. Step 6: Final answer
    x = 983.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.