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Finding the Fourth Proportional to 588.64, 812.40 and 355.78

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Solution

The fourth proportional to 588.64, 812.40 and 355.78 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 812.40 = 355.78 : x
  2. Step 2: Convert to fraction form
    588.64/812.40 = 355.78/x
  3. Step 3: Cross multiply
    588.64x = 812.40 × 355.78
  4. Step 4: Simplify right side
    588.64x = 289,035.67
  5. Step 5: Solve for x
    x = 289,035.67/588.64
  6. Step 6: Final answer
    x = 491.02

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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.