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Finding the Fourth Proportional to 1,035.32, 1,428.63 and 593.06

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Solution

The fourth proportional to 1,035.32, 1,428.63 and 593.06 is: 818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.32 : 1,428.63 = 593.06 : x
  2. Step 2: Convert to fraction form
    1,035.32/1,428.63 = 593.06/x
  3. Step 3: Cross multiply
    1,035.32x = 1,428.63 × 593.06
  4. Step 4: Simplify right side
    1,035.32x = 847,256.16
  5. Step 5: Solve for x
    x = 847,256.16/1,035.32
  6. Step 6: Final answer
    x = 818.36

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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.