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Finding the Fourth Proportional to 2,290.30, 3,435.51 and 646.67

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Solution

The fourth proportional to 2,290.30, 3,435.51 and 646.67 is: 970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.30 : 3,435.51 = 646.67 : x
  2. Step 2: Convert to fraction form
    2,290.30/3,435.51 = 646.67/x
  3. Step 3: Cross multiply
    2,290.30x = 3,435.51 × 646.67
  4. Step 4: Simplify right side
    2,290.30x = 2,221,644.61
  5. Step 5: Solve for x
    x = 2,221,644.61/2,290.30
  6. Step 6: Final answer
    x = 970.03

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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.