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Finding the Fourth Proportional to 960.71, 1,325.63 and 562.40

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Solution

The fourth proportional to 960.71, 1,325.63 and 562.40 is: 776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.71 : 1,325.63 = 562.40 : x
  2. Step 2: Convert to fraction form
    960.71/1,325.63 = 562.40/x
  3. Step 3: Cross multiply
    960.71x = 1,325.63 × 562.40
  4. Step 4: Simplify right side
    960.71x = 745,539.03
  5. Step 5: Solve for x
    x = 745,539.03/960.71
  6. Step 6: Final answer
    x = 776.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.