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Finding the Fourth Proportional to 2,590.47, 3,885.66 and 642.67

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Solution

The fourth proportional to 2,590.47, 3,885.66 and 642.67 is: 963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.47 : 3,885.66 = 642.67 : x
  2. Step 2: Convert to fraction form
    2,590.47/3,885.66 = 642.67/x
  3. Step 3: Cross multiply
    2,590.47x = 3,885.66 × 642.67
  4. Step 4: Simplify right side
    2,590.47x = 2,497,187.40
  5. Step 5: Solve for x
    x = 2,497,187.40/2,590.47
  6. Step 6: Final answer
    x = 963.99

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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.