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Finding the Fourth Proportional to 2,290.16, 3,435.28 and 646.74

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Solution

The fourth proportional to 2,290.16, 3,435.28 and 646.74 is: 970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.16 : 3,435.28 = 646.74 : x
  2. Step 2: Convert to fraction form
    2,290.16/3,435.28 = 646.74/x
  3. Step 3: Cross multiply
    2,290.16x = 3,435.28 × 646.74
  4. Step 4: Simplify right side
    2,290.16x = 2,221,731.37
  5. Step 5: Solve for x
    x = 2,221,731.37/2,290.16
  6. Step 6: Final answer
    x = 970.12

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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.