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Finding the Fourth Proportional to 1,411.20, 2,117.20 and 620.64

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Solution

The fourth proportional to 1,411.20, 2,117.20 and 620.64 is: 931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.20 : 2,117.20 = 620.64 : x
  2. Step 2: Convert to fraction form
    1,411.20/2,117.20 = 620.64/x
  3. Step 3: Cross multiply
    1,411.20x = 2,117.20 × 620.64
  4. Step 4: Simplify right side
    1,411.20x = 1,314,019.01
  5. Step 5: Solve for x
    x = 1,314,019.01/1,411.20
  6. Step 6: Final answer
    x = 931.14

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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.