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Finding the Fourth Proportional to 711.95, 1,065.62 and 613.54

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Solution

The fourth proportional to 711.95, 1,065.62 and 613.54 is: 918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.95 : 1,065.62 = 613.54 : x
  2. Step 2: Convert to fraction form
    711.95/1,065.62 = 613.54/x
  3. Step 3: Cross multiply
    711.95x = 1,065.62 × 613.54
  4. Step 4: Simplify right side
    711.95x = 653,800.49
  5. Step 5: Solve for x
    x = 653,800.49/711.95
  6. Step 6: Final answer
    x = 918.32

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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.