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Finding the Fourth Proportional to 864, 1,190.88 and 653.81

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Solution

The fourth proportional to 864, 1,190.88 and 653.81 is: 901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,190.88 = 653.81 : x
  2. Step 2: Convert to fraction form
    864/1,190.88 = 653.81/x
  3. Step 3: Cross multiply
    864x = 1,190.88 × 653.81
  4. Step 4: Simplify right side
    864x = 778,603.30
  5. Step 5: Solve for x
    x = 778,603.30/864
  6. Step 6: Final answer
    x = 901.16

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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.