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Finding the Fourth Proportional to 1,035.30, 1,428.80 and 593.31

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Solution

The fourth proportional to 1,035.30, 1,428.80 and 593.31 is: 818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.30 : 1,428.80 = 593.31 : x
  2. Step 2: Convert to fraction form
    1,035.30/1,428.80 = 593.31/x
  3. Step 3: Cross multiply
    1,035.30x = 1,428.80 × 593.31
  4. Step 4: Simplify right side
    1,035.30x = 847,718.36
  5. Step 5: Solve for x
    x = 847,718.36/1,035.30
  6. Step 6: Final answer
    x = 818.81

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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.