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Finding the Fourth Proportional to 1,670.29, 2,504.72 and 574.16

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Solution

The fourth proportional to 1,670.29, 2,504.72 and 574.16 is: 860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.29 : 2,504.72 = 574.16 : x
  2. Step 2: Convert to fraction form
    1,670.29/2,504.72 = 574.16/x
  3. Step 3: Cross multiply
    1,670.29x = 2,504.72 × 574.16
  4. Step 4: Simplify right side
    1,670.29x = 1,438,098.95
  5. Step 5: Solve for x
    x = 1,438,098.95/1,670.29
  6. Step 6: Final answer
    x = 860.99

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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.