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Finding the Fourth Proportional to 1,376.99, 2,066.29 and 646.57

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Solution

The fourth proportional to 1,376.99, 2,066.29 and 646.57 is: 970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.99 : 2,066.29 = 646.57 : x
  2. Step 2: Convert to fraction form
    1,376.99/2,066.29 = 646.57/x
  3. Step 3: Cross multiply
    1,376.99x = 2,066.29 × 646.57
  4. Step 4: Simplify right side
    1,376.99x = 1,335,994.34
  5. Step 5: Solve for x
    x = 1,335,994.34/1,376.99
  6. Step 6: Final answer
    x = 970.23

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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.