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Finding the Fourth Proportional to 1,670.90, 2,505.84 and 630.14

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Solution

The fourth proportional to 1,670.90, 2,505.84 and 630.14 is: 945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.90 : 2,505.84 = 630.14 : x
  2. Step 2: Convert to fraction form
    1,670.90/2,505.84 = 630.14/x
  3. Step 3: Cross multiply
    1,670.90x = 2,505.84 × 630.14
  4. Step 4: Simplify right side
    1,670.90x = 1,579,030.02
  5. Step 5: Solve for x
    x = 1,579,030.02/1,670.90
  6. Step 6: Final answer
    x = 945.02

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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.