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Finding the Fourth Proportional to 1,035.83, 1,429.68 and 705.05

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Solution

The fourth proportional to 1,035.83, 1,429.68 and 705.05 is: 973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.83 : 1,429.68 = 705.05 : x
  2. Step 2: Convert to fraction form
    1,035.83/1,429.68 = 705.05/x
  3. Step 3: Cross multiply
    1,035.83x = 1,429.68 × 705.05
  4. Step 4: Simplify right side
    1,035.83x = 1,007,995.88
  5. Step 5: Solve for x
    x = 1,007,995.88/1,035.83
  6. Step 6: Final answer
    x = 973.13

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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.