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Finding the Fourth Proportional to 1,409.84, 2,115.16 and 577.16

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Solution

The fourth proportional to 1,409.84, 2,115.16 and 577.16 is: 865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.84 : 2,115.16 = 577.16 : x
  2. Step 2: Convert to fraction form
    1,409.84/2,115.16 = 577.16/x
  3. Step 3: Cross multiply
    1,409.84x = 2,115.16 × 577.16
  4. Step 4: Simplify right side
    1,409.84x = 1,220,785.75
  5. Step 5: Solve for x
    x = 1,220,785.75/1,409.84
  6. Step 6: Final answer
    x = 865.90

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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.