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Finding the Fourth Proportional to 1,741.74, 2,612.88 and 571.38

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Solution

The fourth proportional to 1,741.74, 2,612.88 and 571.38 is: 857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.74 : 2,612.88 = 571.38 : x
  2. Step 2: Convert to fraction form
    1,741.74/2,612.88 = 571.38/x
  3. Step 3: Cross multiply
    1,741.74x = 2,612.88 × 571.38
  4. Step 4: Simplify right side
    1,741.74x = 1,492,947.37
  5. Step 5: Solve for x
    x = 1,492,947.37/1,741.74
  6. Step 6: Final answer
    x = 857.16

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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.