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Finding the Fourth Proportional to 764.60, 1,052.56 and 661.04

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Solution

The fourth proportional to 764.60, 1,052.56 and 661.04 is: 910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.60 : 1,052.56 = 661.04 : x
  2. Step 2: Convert to fraction form
    764.60/1,052.56 = 661.04/x
  3. Step 3: Cross multiply
    764.60x = 1,052.56 × 661.04
  4. Step 4: Simplify right side
    764.60x = 695,784.26
  5. Step 5: Solve for x
    x = 695,784.26/764.60
  6. Step 6: Final answer
    x = 910.00

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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.