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Finding the Fourth Proportional to 711.51, 1,065.42 and 609.45

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Solution

The fourth proportional to 711.51, 1,065.42 and 609.45 is: 912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.51 : 1,065.42 = 609.45 : x
  2. Step 2: Convert to fraction form
    711.51/1,065.42 = 609.45/x
  3. Step 3: Cross multiply
    711.51x = 1,065.42 × 609.45
  4. Step 4: Simplify right side
    711.51x = 649,320.22
  5. Step 5: Solve for x
    x = 649,320.22/711.51
  6. Step 6: Final answer
    x = 912.59

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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.