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Finding the Fourth Proportional to 2,290.61, 3,435.52 and 646.77

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Solution

The fourth proportional to 2,290.61, 3,435.52 and 646.77 is: 970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.61 : 3,435.52 = 646.77 : x
  2. Step 2: Convert to fraction form
    2,290.61/3,435.52 = 646.77/x
  3. Step 3: Cross multiply
    2,290.61x = 3,435.52 × 646.77
  4. Step 4: Simplify right side
    2,290.61x = 2,221,999.86
  5. Step 5: Solve for x
    x = 2,221,999.86/2,290.61
  6. Step 6: Final answer
    x = 970.05

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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.