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Finding the Fourth Proportional to 1,612.90, 2,419.64 and 573.51

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Solution

The fourth proportional to 1,612.90, 2,419.64 and 573.51 is: 860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.90 : 2,419.64 = 573.51 : x
  2. Step 2: Convert to fraction form
    1,612.90/2,419.64 = 573.51/x
  3. Step 3: Cross multiply
    1,612.90x = 2,419.64 × 573.51
  4. Step 4: Simplify right side
    1,612.90x = 1,387,687.74
  5. Step 5: Solve for x
    x = 1,387,687.74/1,612.90
  6. Step 6: Final answer
    x = 860.37

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1.5x scale

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.