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Finding the Fourth Proportional to 1,742.34, 2,612.94 and 572.02

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Solution

The fourth proportional to 1,742.34, 2,612.94 and 572.02 is: 857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.34 : 2,612.94 = 572.02 : x
  2. Step 2: Convert to fraction form
    1,742.34/2,612.94 = 572.02/x
  3. Step 3: Cross multiply
    1,742.34x = 2,612.94 × 572.02
  4. Step 4: Simplify right side
    1,742.34x = 1,494,653.94
  5. Step 5: Solve for x
    x = 1,494,653.94/1,742.34
  6. Step 6: Final answer
    x = 857.84

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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.