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Finding the Fourth Proportional to 589.18, 812.42 and 402.77

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Solution

The fourth proportional to 589.18, 812.42 and 402.77 is: 555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 812.42 = 402.77 : x
  2. Step 2: Convert to fraction form
    589.18/812.42 = 402.77/x
  3. Step 3: Cross multiply
    589.18x = 812.42 × 402.77
  4. Step 4: Simplify right side
    589.18x = 327,216.39
  5. Step 5: Solve for x
    x = 327,216.39/589.18
  6. Step 6: Final answer
    x = 555.38

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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.