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Finding the Fourth Proportional to 2,290.07, 3,435.32 and 646.64

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Solution

The fourth proportional to 2,290.07, 3,435.32 and 646.64 is: 970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.07 : 3,435.32 = 646.64 : x
  2. Step 2: Convert to fraction form
    2,290.07/3,435.32 = 646.64/x
  3. Step 3: Cross multiply
    2,290.07x = 3,435.32 × 646.64
  4. Step 4: Simplify right side
    2,290.07x = 2,221,420.68
  5. Step 5: Solve for x
    x = 2,221,420.68/2,290.07
  6. Step 6: Final answer
    x = 970.02

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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.