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Finding the Fourth Proportional to 965.65, 1,442.61 and 616.21

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Solution

The fourth proportional to 965.65, 1,442.61 and 616.21 is: 920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.65 : 1,442.61 = 616.21 : x
  2. Step 2: Convert to fraction form
    965.65/1,442.61 = 616.21/x
  3. Step 3: Cross multiply
    965.65x = 1,442.61 × 616.21
  4. Step 4: Simplify right side
    965.65x = 888,950.71
  5. Step 5: Solve for x
    x = 888,950.71/965.65
  6. Step 6: Final answer
    x = 920.57

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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.