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Finding the Fourth Proportional to 1,920.39, 2,880.29 and 533.58

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Solution

The fourth proportional to 1,920.39, 2,880.29 and 533.58 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.39 : 2,880.29 = 533.58 : x
  2. Step 2: Convert to fraction form
    1,920.39/2,880.29 = 533.58/x
  3. Step 3: Cross multiply
    1,920.39x = 2,880.29 × 533.58
  4. Step 4: Simplify right side
    1,920.39x = 1,536,865.14
  5. Step 5: Solve for x
    x = 1,536,865.14/1,920.39
  6. Step 6: Final answer
    x = 800.29

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1.5x scale

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.