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Finding the Fourth Proportional to 2,355.80, 3,533.46 and 712.38

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Solution

The fourth proportional to 2,355.80, 3,533.46 and 712.38 is: 1,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.80 : 3,533.46 = 712.38 : x
  2. Step 2: Convert to fraction form
    2,355.80/3,533.46 = 712.38/x
  3. Step 3: Cross multiply
    2,355.80x = 3,533.46 × 712.38
  4. Step 4: Simplify right side
    2,355.80x = 2,517,166.23
  5. Step 5: Solve for x
    x = 2,517,166.23/2,355.80
  6. Step 6: Final answer
    x = 1,068.50

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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.