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Finding the Fourth Proportional to 1,920.74, 2,880.62 and 534.20

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Solution

The fourth proportional to 1,920.74, 2,880.62 and 534.20 is: 801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.74 : 2,880.62 = 534.20 : x
  2. Step 2: Convert to fraction form
    1,920.74/2,880.62 = 534.20/x
  3. Step 3: Cross multiply
    1,920.74x = 2,880.62 × 534.20
  4. Step 4: Simplify right side
    1,920.74x = 1,538,824.53
  5. Step 5: Solve for x
    x = 1,538,824.53/1,920.74
  6. Step 6: Final answer
    x = 801.16

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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.