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Finding the Fourth Proportional to 589.35, 812.95 and 400.62

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Solution

The fourth proportional to 589.35, 812.95 and 400.62 is: 552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.35 : 812.95 = 400.62 : x
  2. Step 2: Convert to fraction form
    589.35/812.95 = 400.62/x
  3. Step 3: Cross multiply
    589.35x = 812.95 × 400.62
  4. Step 4: Simplify right side
    589.35x = 325,684.03
  5. Step 5: Solve for x
    x = 325,684.03/589.35
  6. Step 6: Final answer
    x = 552.62

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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.