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Finding the Fourth Proportional to 1,741.40, 2,612.16 and 571.46

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Solution

The fourth proportional to 1,741.40, 2,612.16 and 571.46 is: 857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.40 : 2,612.16 = 571.46 : x
  2. Step 2: Convert to fraction form
    1,741.40/2,612.16 = 571.46/x
  3. Step 3: Cross multiply
    1,741.40x = 2,612.16 × 571.46
  4. Step 4: Simplify right side
    1,741.40x = 1,492,751.48
  5. Step 5: Solve for x
    x = 1,492,751.48/1,741.40
  6. Step 6: Final answer
    x = 857.22

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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.