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Finding the Fourth Proportional to 1,035.37, 1,428.54 and 593.02

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Solution

The fourth proportional to 1,035.37, 1,428.54 and 593.02 is: 818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.37 : 1,428.54 = 593.02 : x
  2. Step 2: Convert to fraction form
    1,035.37/1,428.54 = 593.02/x
  3. Step 3: Cross multiply
    1,035.37x = 1,428.54 × 593.02
  4. Step 4: Simplify right side
    1,035.37x = 847,152.79
  5. Step 5: Solve for x
    x = 847,152.79/1,035.37
  6. Step 6: Final answer
    x = 818.21

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Why These Related Problems?

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