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Finding the Fourth Proportional to 1,035.25, 1,427.90 and 592.99

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Solution

The fourth proportional to 1,035.25, 1,427.90 and 592.99 is: 817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.25 : 1,427.90 = 592.99 : x
  2. Step 2: Convert to fraction form
    1,035.25/1,427.90 = 592.99/x
  3. Step 3: Cross multiply
    1,035.25x = 1,427.90 × 592.99
  4. Step 4: Simplify right side
    1,035.25x = 846,723.89
  5. Step 5: Solve for x
    x = 846,723.89/1,035.25
  6. Step 6: Final answer
    x = 817.90

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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.