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Finding the Fourth Proportional to 1,666.96, 2,500.20 and 571.12

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Solution

The fourth proportional to 1,666.96, 2,500.20 and 571.12 is: 856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.96 : 2,500.20 = 571.12 : x
  2. Step 2: Convert to fraction form
    1,666.96/2,500.20 = 571.12/x
  3. Step 3: Cross multiply
    1,666.96x = 2,500.20 × 571.12
  4. Step 4: Simplify right side
    1,666.96x = 1,427,914.22
  5. Step 5: Solve for x
    x = 1,427,914.22/1,666.96
  6. Step 6: Final answer
    x = 856.60

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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.