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Finding the Fourth Proportional to 1,088.11, 1,501.33 and 734.68

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Solution

The fourth proportional to 1,088.11, 1,501.33 and 734.68 is: 1,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.11 : 1,501.33 = 734.68 : x
  2. Step 2: Convert to fraction form
    1,088.11/1,501.33 = 734.68/x
  3. Step 3: Cross multiply
    1,088.11x = 1,501.33 × 734.68
  4. Step 4: Simplify right side
    1,088.11x = 1,102,997.12
  5. Step 5: Solve for x
    x = 1,102,997.12/1,088.11
  6. Step 6: Final answer
    x = 1,013.68

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