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Finding the Fourth Proportional to 711.36, 1,065.15 and 581.22

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Solution

The fourth proportional to 711.36, 1,065.15 and 581.22 is: 870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 1,065.15 = 581.22 : x
  2. Step 2: Convert to fraction form
    711.36/1,065.15 = 581.22/x
  3. Step 3: Cross multiply
    711.36x = 1,065.15 × 581.22
  4. Step 4: Simplify right side
    711.36x = 619,086.48
  5. Step 5: Solve for x
    x = 619,086.48/711.36
  6. Step 6: Final answer
    x = 870.29

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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.