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Finding the Fourth Proportional to 768.06, 1,156.25 and 700.02

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Solution

The fourth proportional to 768.06, 1,156.25 and 700.02 is: 1,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.06 : 1,156.25 = 700.02 : x
  2. Step 2: Convert to fraction form
    768.06/1,156.25 = 700.02/x
  3. Step 3: Cross multiply
    768.06x = 1,156.25 × 700.02
  4. Step 4: Simplify right side
    768.06x = 809,398.13
  5. Step 5: Solve for x
    x = 809,398.13/768.06
  6. Step 6: Final answer
    x = 1,053.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.