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Finding the Fourth Proportional to 1,670.83, 2,305.43 and 972.07

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Solution

The fourth proportional to 1,670.83, 2,305.43 and 972.07 is: 1,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.83 : 2,305.43 = 972.07 : x
  2. Step 2: Convert to fraction form
    1,670.83/2,305.43 = 972.07/x
  3. Step 3: Cross multiply
    1,670.83x = 2,305.43 × 972.07
  4. Step 4: Simplify right side
    1,670.83x = 2,241,032.36
  5. Step 5: Solve for x
    x = 2,241,032.36/1,670.83
  6. Step 6: Final answer
    x = 1,341.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.