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Finding the Fourth Proportional to 1,465.10, 2,195.78 and 643.16

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Solution

The fourth proportional to 1,465.10, 2,195.78 and 643.16 is: 963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.10 : 2,195.78 = 643.16 : x
  2. Step 2: Convert to fraction form
    1,465.10/2,195.78 = 643.16/x
  3. Step 3: Cross multiply
    1,465.10x = 2,195.78 × 643.16
  4. Step 4: Simplify right side
    1,465.10x = 1,412,237.86
  5. Step 5: Solve for x
    x = 1,412,237.86/1,465.10
  6. Step 6: Final answer
    x = 963.92

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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.