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Finding the Fourth Proportional to 710.97, 1,066.29 and 300.06

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Solution

The fourth proportional to 710.97, 1,066.29 and 300.06 is: 450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 1,066.29 = 300.06 : x
  2. Step 2: Convert to fraction form
    710.97/1,066.29 = 300.06/x
  3. Step 3: Cross multiply
    710.97x = 1,066.29 × 300.06
  4. Step 4: Simplify right side
    710.97x = 319,950.98
  5. Step 5: Solve for x
    x = 319,950.98/710.97
  6. Step 6: Final answer
    x = 450.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.