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Finding the Fourth Proportional to 1,670.58, 2,505.80 and 574.99

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Solution

The fourth proportional to 1,670.58, 2,505.80 and 574.99 is: 862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.58 : 2,505.80 = 574.99 : x
  2. Step 2: Convert to fraction form
    1,670.58/2,505.80 = 574.99/x
  3. Step 3: Cross multiply
    1,670.58x = 2,505.80 × 574.99
  4. Step 4: Simplify right side
    1,670.58x = 1,440,805.11
  5. Step 5: Solve for x
    x = 1,440,805.11/1,670.58
  6. Step 6: Final answer
    x = 862.46

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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.