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Finding the Fourth Proportional to 1,700.58, 2,549.58 and 775.62

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Solution

The fourth proportional to 1,700.58, 2,549.58 and 775.62 is: 1,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.58 : 2,549.58 = 775.62 : x
  2. Step 2: Convert to fraction form
    1,700.58/2,549.58 = 775.62/x
  3. Step 3: Cross multiply
    1,700.58x = 2,549.58 × 775.62
  4. Step 4: Simplify right side
    1,700.58x = 1,977,505.24
  5. Step 5: Solve for x
    x = 1,977,505.24/1,700.58
  6. Step 6: Final answer
    x = 1,162.84

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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.