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Finding the Fourth Proportional to 2,308.59, 3,463.08 and 642.83

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Solution

The fourth proportional to 2,308.59, 3,463.08 and 642.83 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.59 : 3,463.08 = 642.83 : x
  2. Step 2: Convert to fraction form
    2,308.59/3,463.08 = 642.83/x
  3. Step 3: Cross multiply
    2,308.59x = 3,463.08 × 642.83
  4. Step 4: Simplify right side
    2,308.59x = 2,226,154.40
  5. Step 5: Solve for x
    x = 2,226,154.40/2,308.59
  6. Step 6: Final answer
    x = 964.29

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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.