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Finding the Fourth Proportional to 1,700.87, 2,549.94 and 1,564.19

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Solution

The fourth proportional to 1,700.87, 2,549.94 and 1,564.19 is: 2,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.87 : 2,549.94 = 1,564.19 : x
  2. Step 2: Convert to fraction form
    1,700.87/2,549.94 = 1,564.19/x
  3. Step 3: Cross multiply
    1,700.87x = 2,549.94 × 1,564.19
  4. Step 4: Simplify right side
    1,700.87x = 3,988,577.90
  5. Step 5: Solve for x
    x = 3,988,577.90/1,700.87
  6. Step 6: Final answer
    x = 2,345.03

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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.