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Finding the Fourth Proportional to 2,590.30, 3,885.45 and 642.49

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Solution

The fourth proportional to 2,590.30, 3,885.45 and 642.49 is: 963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.30 : 3,885.45 = 642.49 : x
  2. Step 2: Convert to fraction form
    2,590.30/3,885.45 = 642.49/x
  3. Step 3: Cross multiply
    2,590.30x = 3,885.45 × 642.49
  4. Step 4: Simplify right side
    2,590.30x = 2,496,362.77
  5. Step 5: Solve for x
    x = 2,496,362.77/2,590.30
  6. Step 6: Final answer
    x = 963.74

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Double scale
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Similar ratio
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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.