Home / 1,646.22-2,470.80-824.95

Finding the Fourth Proportional to 1,646.22, 2,470.80 and 824.95

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Solution

The fourth proportional to 1,646.22, 2,470.80 and 824.95 is: 1,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.22 : 2,470.80 = 824.95 : x
  2. Step 2: Convert to fraction form
    1,646.22/2,470.80 = 824.95/x
  3. Step 3: Cross multiply
    1,646.22x = 2,470.80 × 824.95
  4. Step 4: Simplify right side
    1,646.22x = 2,038,292.64
  5. Step 5: Solve for x
    x = 2,038,292.64/1,646.22
  6. Step 6: Final answer
    x = 1,238.16

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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.