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Finding the Fourth Proportional to 1,464.35, 2,194.68 and 642.20

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Solution

The fourth proportional to 1,464.35, 2,194.68 and 642.20 is: 962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.35 : 2,194.68 = 642.20 : x
  2. Step 2: Convert to fraction form
    1,464.35/2,194.68 = 642.20/x
  3. Step 3: Cross multiply
    1,464.35x = 2,194.68 × 642.20
  4. Step 4: Simplify right side
    1,464.35x = 1,409,423.50
  5. Step 5: Solve for x
    x = 1,409,423.50/1,464.35
  6. Step 6: Final answer
    x = 962.49

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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.